Prime Minister David Cameron suggested Evans should consider voluntary work to demonstrate to the public that he was "really sorry about what happened and you want to atone for what you have done".
"My view is it is not for politicians to pick football teams, it should be for football clubs to pick their teams.
"But as they do that, they have to recognise that football players are role models for young people and they have to think about what will the impact be on the club, what will the impact be on young people.
"I would rather clubs demonstrated that responsibility and took the decisions themselves rather than feeling anyone has to step in.
"As for people in this position, surely the position is to recognise when you have done something wrong and you have been punished, rightly punished, you have to work your way back - that might mean doing more voluntary work, putting more back in, in order to demonstrate to the public, the country, the football-loving country we are, that you are really sorry about what happened and you want to atone for what you have done."
League One club Oldham Athletic have confirmed they will not be signing convicted rapist Ched Evans.
Club chief executive Neil Joy has stated that chairman Simon Corney has not resigned, contrary to reports.
The Professional Footballers' Association say they will support any club willing to sign convicted rapist Ched Evans.Read the full story ›
The PFA has issued a statement to clarify its position in supporting Evans' search to find a club.
We have had some discussions with Oldham Athletic regarding the interest they expressed in signing Ched, although we feel it is important to make clear that, contrary to what has been reported, we were not 'driving' any deal.
As we understand it, the club and player were in discussions and contact was then made with the PFA as matters progressed given the particular circumstances of this situation and we were simply being asked to publicly reiterate our support for the club in signing him.
Despite being ready to offer this from the outset, we were asked to delay whilst discussions between the club and player continued, and we were disappointed to see over the course of this week, comments being made which we feel mischaracterise our limited role in this matter. The PFA's position remains the same, as we have expressed previously, that any club which decides to sign him would receive our support. We fully recognise that this is a delicate and emotive case and entirely respect that there are opposing views.
Ched Evans has issued an apology via the Professional Footballers' Association "for the effects that night in Rhyl has had on many people, not least the woman concerned" - but maintains his innocence in relation to his conviction for rape.
I am grateful for the support of the PFA in helping me try to return to football and continue my career.
Upon legal advice, I was told not to discuss the events in question. This silence has been misinterpreted as arrogance and I would like to state that this could not be further from the truth.
I do remain limited at present by what I can say due to the ongoing referral to the Criminal Cases Review Commission and whilst I continue to maintain my innocence, I wish to make it clear that I wholeheartedly apologise for the effects that night in Rhyl has had on many people, not least the woman concerned.
Finally, it has been claimed that those using social media in an abusive and vindictive way towards this woman are supporters of mine. I wish to make it clear that these people are not my supporters and I condemn their actions entirely and will continue to do so.
ITV News understands that Oldham Athletic's deal to sign convicted rapist Ched Evans has fallen through.
Oldham Athletic owner Simon Corney has confirmed he expects to complete a deal to sign convicted rapist Ched Evans this week.
Speaking to the Jewish Chronicle, Simon Corney said the League One club believes Evans has “served his time."
The deal is likely to be confirmed on Thursday.
There might be a cost implication, but you have to stick to your principles. We weren’t surprised by the backlash.
I completely understand people’s views and I respect them. I would never tell people they are wrong to have their own views. But we want people to keep them in check.
I hope people don’t get too carried way and it doesn’t get too hot.
Verlin Rainwater Solutions, one of Oldham's sponsors, have ended their association with the club due to the "imminent signing" of convicted rapist Ched Evans.
League One side Oldham are expected to confirm a deal to sign Evans on Thursday.
Prime Minister David Cameron expects that any football club considering hiring convicted rapist Ched Evans will "weigh their decisions very carefully", Downing Street has said.
And the Greater Manchester police and crime commissioner Tony Lloyd has urged the side not to sign Evans, saying he had shown a "lack of remorse" and should not be presenting himself as a role model to young people.
Asked at a regular Westminster news briefing whether Mr Cameron thought Evans should be given a new footballing contract, the Prime Minister's official spokesman told reporters:
"His view hasn't changed (from) ... the time when there were reports around Sheffield United. Ultimately, it is for employers to take decisions, but the Prime Minister does think that footballers are role models and he is sure that any potential would-be clubs and employers will weigh their decisions very carefully."
Jonathan Aitken told Good Morning Britain that convicted rapist Ched Evans should be free to return to professional football.
The Welsh striker was expected to sign for League One Oldham Athletic on Monday, but the club have stalled on the deal following pressure from supporters, including 30,000 signing a petition against signing Evans.
Aitken, who was jailed in 1999 after being convicted of perjury, said: “We have to stick to law and principles. He has served his sentence, he has been in jail and when he comes out of jail - like any other prisoner - he is entitled to attempt to be rehabilitated.
"I know this [football] is the national religion but we don’t have to pretend that footballers are like holy priests, they’re just ordinary workers like anyone else. "There is such a negative warning about the Ched Evans case that any football fans that have got any brain might well think twice about going down the road that he’s been down. Question is should he get a second chance, I think he should.”