Trabzonspor were keen on veteran Kolo Toure but the Ivory Coast international intends to see out the final year of his Liverpool contract.
"Trabzonspor are interested in me but I have expressed my pleasure at being a Liverpool player," Toure told Sport-Ivoire.
"Yes, it is always a possibility to join a lower league for more playing time but I am a competitor and I decided to stay at Liverpool.
"The season is full of matches in the league and Champions League and I know I have time to prove I'm still hungry but I know I will not play every game, that's for sure.
"I had talks with the coach, who clearly indicated that I was part of his plans.
"I feel good physically and at 33 years of age I am ready for any challenge.
"I continue to work hard in training to keep up the momentum and it is why the coach wants to keep me at Liverpool, because I am a fighter.
"I intend to start the season with the same goals: to enable the club to progress and to please all fans of Liverpool.
"It is a privilege to be at Liverpool. I am very happy to wear the shirt of this legendary club.
"The situation can change at any time but for the moment I am at Liverpool and I want to carry on with the club."