However, those rumours look likely to stop now with the Spaniard signing a three-year contract extension at the La Liga outfit.
"It's a big step for me and for Malaga," said Isco. "I'm grateful because they brought me to the city.
"I have trust in this team and I think we will continue improving this year, and that's good for me and for the club.
"I'm happy to have renewed. What happens in the future, nobody knows. Nobody has contacted me, these are rumours and run every day. It isn't time to talk about it now."
Isco's new deal contains a £30m buyout clause.