The former Togo international’s future at Selhurst Park remains uncertain after signing for the club on a short-term deal in January until the end of the season.
Adebayor, who has never won the FA Cup despite spells at Arsenal, Manchester City and Tottenham, insists he wants to stay in England but admits he has offers from clubs abroad.
He told Sky Sports, “My experience in English football has been beautiful and I would love to hit and beat that target to be remembered in English football like Didier Drogba.
“It is definitely possible (that I move abroad) but you know my love for English football. I am doing everything possible to stay but, if not, I can only say thanks to all the fans, all the journalists, those who criticised me, those who fight for and defend me.
“If I have to remain in England; fine. If I have to move on; fine. I came from somewhere to come to England, if I have to move somewhere from England, why not?
“At the end of the day I am happy and in a good moment in English football. I am lucky to still be alive. I am blessed.”