The 25-year-old said Everton's pre-season tour of Singapore, where the Toffees will play Arsenal in the final of the Barclays Asia Trophy on Saturday, has given him the opportunity to get comfortable in his new surroundings.
"It's going really well," Cleverley told evertontv.
"The guys here are a really good set of lads. They've made me feel so comfortable. I knew a few of them before and I'm excited to play for such a good club.
"A win on Saturday at Swindon, and a win on penalties against Stoke means it's been a good start.
"It will be a fantastic final on Saturday and both teams will want to win - but hopefully I can get them back after what happened in the FA Cup final!"