The 27-year-old spent the second half of last season on loan at Real Madrid and is keen on leaving Eastlands on a permanent deal in the summer.
Adebayor turned down a move to Zenit St Petersburg at the weekend.
Adebayor told Ivorian newspaper The Patriot: “I say thank you to PSG for thinking of me but for all the respect I owe them, I will not go there.
“At Real, I got a taste for what it’s like winning a trophy. I can only go where we play to win a trophy or win the championship and not to play mid-table.
“It is clear that I will not (win trophies) at Zenit or Blackburn.”
Adebayor admits he is keen to remain at Real Madrid.
“I’d like to stay with the merengue. But you know I am a footballer and what is important is to play football whether it’s Manchester City or elsewhere,” he said.
“For now, I take my holidays with my family and after, when I go back to my club, we’ll see.”
