And - against a Stoke side that are historically bad starters - a home win looks a good bet for Rooney and Ronald Koeman's men.
Everton manager Koeman believes Barkley will leave Goodison Park this summer but insists the club will not be hostage to a deliberately late, undervalued offer for the midfielder. We must all concentrate on getting a good league run going and achieving some consistency in the Premier League.
The Toffees' highest profile signing was Wayne Rooney, who grew up an Everton fan and started his professional career with the club.
Jose Mourinho: I won't moan if Man United don't sign another player
Or do I think I'm going to win it because I always win in the second season? "We got a central midfielder, we got a striker. But we have players and if we can not strengthen the team in these areas, we have players that we trust".
The last duel between these two teams came back in February when veteran striker Peter Crouch netted his 100th Premier League goal.
Stoke manager Mark Hughes: "Everyone is fed up of friendlies, and we just all want the season to start now".
Stoke are embarking on their 10th consecutive Premier League season.
With the benefit of Europa League football in their legs already, expect them to be flying today.
Stoke, who won their last away Premier League game on the final day of last season at Southampton, haven't recorded back to back away league wins since October 2015. We followed Stoke in pre-season, they had a lot of games.
That move, honed in pre-season, almost paid dividends as Everton new boy Pickford had to tip his early cross around the post, with former Liverpool midfielder Joe Allen then having attempts blocked as the hosts stuttered.