Everton attacker Bernard has managed to break into Marco Silva's side's starting line-up.
It's an age-old debate between Everton and Liverpool fans which usually weighs in favour of the Reds but now Toffees legend Leon Osman is getting involved.
Playmaker Barkley joined Chelsea from Everton in January.
Everton's in-form ace Gylfi Sigurdsson struck in the win over FUlham
West Ham United won against Everton at Goodison Park in the Premier League on Sunday.
Everton lost 2-1 at home to West Ham United on Sunday.
West Ham have made seven high-profile signings already this summer.
Everton have appointed Marco Silva as the club's new manager.
Rooney has already been tipped to follow Steven Gerrard to Rangers, as the new boss begins his Ibrox overhaul.
The former Everton midfielder was also asked about David Moyes and Marco Silva.