The Togo international has been linked with Ewood Park.
But 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. "