Bendtner hit 13-goals during his season-long loan to help Birmingham's assent back to the top flight, but his father, Thomas, has said he is not looking to return to the Midlands and wants to establish himself in Arsene Wenger's plans instead.
"We know that Bruce would like to have Nick back and he also enjoyed his time at Birmingham very much, but he won’t go on loan any more," Bendtner's father, who also acts as his representative, said.
"It was a very good year for him but it won’t happen. I can promise you one thing, we will definitely not go on loan anywhere, that is for sure.
Thomas added: "I’m sure that Wenger will give Nick the chance, he is only 19 years old so he will come, no doubt about it.
"We are completely on top of his situation and Adebayor is not long term, somewhere down the line he will get injured and then it will be Nick's turn, so I’m full of confidence on that."