The 24-year-old has a season remaining on his contract with the reigning Champions League title holders, but a renewal has reportedly stalled and a profitable sale may interest Bayern as United plan a massive overhaul at the end of the season.
"It's no secret, the Premier League is a possibility for me," he said ahead of Bayern's Champions League second leg with Arsenal at the Allianz Arena.
"I've heard that people have written that I might go to England. But there's nothing new from my point of view.
"No decision has been made. The situation is that I don't have any agreement right at the moment [at Bayern]. On the other side there is no agreement in place anywhere," he said.
Bayern hope to convince Kroos to commit his future to the club and their financial director Jan-Christian Dreesen recently suggested they may up their offer - understood to be half of what United striker Wayne Rooney received to extend his stay at Old Trafford - to convince him to remain in Munich.
"Toni is a great talent, a good, good player. He's young. He can be better and better. He can improve," Bayern manager Pep Guardiola said.
"I said to him you have time to become an even better player. I hope he maintains his form this season - and for more seasons at this club.''
Reports in Germany however suggest Bayern are watching Borussia Dortmund's Ilkay Gundogan should Kroos decide to leave the club.