Begovic is focused on keeping Stoke in the Premier League.
He said: "I'm not thinking a lot about speculation. I have a lot of work to do at Stoke City, we have to stay in the league.
"But I'm not running away from it, everybody is happy when he is linked with such clubs as Arsenal, Manchester United, Liverpool - I'm glad my name is mentioned in these stories, because this is the proof that I'm doing well.
"We will see what will happen at the end of the season. But for now the most important thing for us is survival."