The highly-rated forward was a rare highlight in a difficult season for the Goodison Park club as he helped Frank Lampard’s side secure their Premier League status during the final days of the campaign.
Gordon has built on the momentum he gained by making an impressive start to the current season, scoring two goals in his opening eight appearances.
The 21-year-old has also shone for England Under-21s as he provided two assists in the recent 3-1 friendly win over their German counterparts.
Gordon is believed to still be of interest for Chelsea and Spurs, despite both clubs completing successful moves for alternative targets during the summer.
Chelsea opted to pursue deals to sign Barcelona star Pierre Emerick-Aubamayang and England winger Raheem Sterling, with Spurs securing Gordon’s Everton team-mate Richarlison in a reported £52.2m move.
Despite the completion of those deals, the speculation over Gordon continued until the final hours of the summer transfer window - but Gordon remained on Merseyside and has made a promising start to the new season.
But with further talk over his long-term future and a possible contract continuing to dominate the headlines, Gordon opened up on what could lie ahead in a recent interview.
Speaking of the speculation, he said: “That’s part and parcel of football.
“When you’re doing well there’s always going to be speculation. But the place is so good that it’s never been a case of being desperate to leave Everton.
“We’re in a completely different place to last year. It’s class, the morale is unbelievable and I couldn’t speak highly enough of it. We’ve made really good signings; people and players. There’s just a feel-good (atmosphere) around the place.
“I like playing with pressure. I feel I thrive on it. If I want to be a top player, I have to do that regardless. I feel I’ve handled it well but I can still score more goals and stuff.”