The Turkey international blew hot and cold in his first four months at Goodison Park, requiring some time to get going following a £27m switch from Besiktas in January.
Tosun has hit the ground running in pre-season, however, as he helped himself to four goals in Everton's club-record 22-0 win against Austrian minnows Irdning at the weekend.
Speaking to the Merseyside outfit's official website after that thumping victory, the 27-year-old admitted that he is already feeling a lot sharper.
"I had pre-seasons in Germany and in Turkey but this one is harder," he said. "He is a European manager but he thinks English. It feels great to play under him because he is always thinking offensively and it is perfect for a striker.
"I want to keep working hard under him and I'm looking forward to playing the first Premier League game. It feels nice to have a full pre-season with Everton.
"It helps me a lot because we are in every day with the lads. It feels nice. I joined in the winter and it was not easy for me. It was difficult to be straight into the Premier League but now with the pre-season I feel better, my body feels better. We have a hard pre-season but this is important for the league."
Tosun scored five goals in his 14 Premier League games during the second half of last season.