Theo Walcott netted in the second half at Goodison Park to lift Everton into eighth place.
Everton signed England winger Theo Walcott from Arsenal in a deal worth a reported 25 million pounds ($34 million, 28.3 million euros) on Wednesday.
Walcott, who has scored 108 goals in 397 matches for Arsenal, is surplus to requirements at the Emirates Stadium having made just 16 appearances this season.
Arsene Wenger made nine changes to the Arsenal team after they travelled to eastern Europe on the back of a 2-0 win over West Bromwich Albion in the Premier League on Monday.
It was a match between two weakened teams, but the strength in depth of Arsenal, FA Cup winners in 2014 and 2015, ensured the visitors won out.
Marcus Rashford and Andros Townsend have been selected in England's 26-man provisional Euro squad while Theo Walcott was omitted.
Olivier Giroud and Theo Walcott scored a brace each to help Arsenal F.C. register an easy 4-0 win over Hull City in the FA Cup.
Alexis Sanchez and Santi Cazorla became the two latest names to be added to a lengthy injury list for Arsenal and will be missing when the rejuvenated Sunderland visit the Emirates Stadium.
Oxlade-Chamberlain (hamstring) Walcott (calf) suffered injuries during their their 0-3 loss to Sheffield Wednesday during a League Cup contest at the Hillsborough Stadium.
Raheem Sterling and Theo Walcott starred in England's 2-0 win against Estonia, thus remaining unbeaten for nine international matches.
Encouraged by the way Theo Walcott netted his first goal of the campaign, Arsenal F.C. manager Arsene Wenger said Theo Walcott can become a prolific striker.
Theo Walcott has signed a four-year contract but the length of Santi Cazorla's deal was not disclosed
Theo Walcott's second half goal ensured Arsene Wenger's side took the silverware in the four-team pre-season tournament
Theo Walcott missed most of the season with a knee injury, but put in a sterling display in Arsenal's 4-0 demolition of Aston Villa at Wembley on Saturday.
Arsenal demolished Aston Villa 4-0 to lift the FA Cup for the 12th time. Arsene Wenger became the first manager in the post-War period to win the competition six times.
Theo Walcott scored three times in the opening 37 minutes as the Gunners rounded off their Premier League campaign with a 4-1 victory over West Bromwich Albion at the Emirates Stadium.
Arsene Wenger's side will be certain of securing a top-three finish in the Premier League if they defeat Sunderland at the Emirates Stadium.
Manchester United took the lead when Ashley Young crossed for Ander Herrera to volley home, but Arsene Wenger's side earned a point in the 82nd minute when Theo Walcott's shot nicked off Blackett and looped over United substitute goalkeeper Victor Valdes.