Mourinho's first match of his second spell in charge - a 1-0 defeat of Singha All-Stars in Bangkok - was overshadowed by Chelsea taking the unusual step of confirming a bid had been made for United striker Rooney.
The statement insisted no players had been offered in exchange for the England forward, who is Mourinho's sole transfer target.
Whatever happens in a saga which is sure to run for some time to come as Chelsea leave Thailand for Malaysia before going on to Indonesia, Mourinho is happy to be back at the Blues helm after a near-six-year absence.
The Portuguese is now looking towards the beginning of the Barclays Premier League season at home to Hull on August 18.
"It's just good to be back, but I'm waiting for Hull City, my first match when we play for points," Mourinho said.
"(It was) not for me a special feeling. I've been too many years in football. "I've always felt connected with Chelsea, even when I was not here."
Apart from some young talent travelling for experience, Chelsea fielded their entire squad, minus a significant absentee in Frank Lampard.
The midfielder appeared pitch-side with a heavily strapped right ankle and will return to training in tomorrow's first full day in Malaysia.
"He was feeling discomfort on his Achilles, so we decided he wouldn't play," Mourinho said.
"In competition you have to risk sometimes; in pre-season, no. The worst thing that can happen is an injury while taking a risk."
Mourinho also confirmed that those involved in the Confederations Cup - Cesar Azpilicueta, Juan Mata, Fernando Torres, John Obi Mikel, David Luiz and Oscar - will meet up with the squad for the first time in London on July 28 and will miss the Asia tour.