Tottenham Hotspur have been linked with a move for the France international, whose contract with QPR runs until June 2017.
The People now claims that Remy is ready to move to Arsenal if the Gunners make an approach for him.
"If Arsenal want him, that's where he will go," a source close to the former Nice forward is quoted as saying. "Where else would be big fan of Thierry Henry want to go?"
Remy joined QPR from Marseille in January 2013.