The Turkey international scored once in five Premier League appearances for Palace before suffering a cruciate ligament injury in March.
Speaking to Fanatik, Tosun said: "I have another two years remaining on my Everton contract.
"I want to prove myself. Everton are a massive club and make big transfers every year. There is a lot of competition. I want to make a full recovery, return to 100% and get myself back in the team.
"If I win my place back in the side I want to stay here. Otherwise another loan could be on the cards. But my priority is to stay at Everton and be a success here."
The 28-year-old has amassed 10 goals in 51 appearances for the Toffees since arriving from Besiktas in 2018.