The 26-year-old scored the winner for Villa in a 3-2 victory over the Toffees last season in a result that ensured the Premier League status of the Midlands club last season.
"I'd like to think I won't get too much stick for that," Cleverley told the club's official website. "I was just doing my job on the day.
"I was doing my best to impress people. Hopefully I can get another goal in this fixture... but for Everton this time."