With the likes of Fabregas and Nasri mooted as potential departures, fans are becoming increasingly concerned over Arsenal's credentials next season.
Walcott, though, insists it is important not to get distracted by such transfer gossip.
"I don't like to get into talks about other players, they make decisions by themselves," he said.
"You just want to keep your best players and attract players as well. Only time will tell what's going to happen.
"We are just looking forward to the pre-season matches and getting the season up and running.
"If players come or go, we just have to go on and try and win something."