The former Crystal Palace star, who moved to the DW Stadium in January 2010, is finally in line for his Blues debut in Saturday's West London derby against QPR.
"I feel like I am back home - I feel excited to be here again - but it has been good being away," said Moses, who was born in Nigeria but moved to London at the age of 11.
"Playing at Wigan developed my character.
"Roberto Martinez is a great manager and he loves to play football. Having a manager like him encourages you to play the football in the right way and carry yourself in a more professional way. It was great working with him.
"Even last month, Roberto (Martinez) was always talking to me to get the transfer speculation out of my head. He just wanted me to concentrate on the football.
"Now Di Matteo likes to play football the same way. They are similar. I think that will make it easier for me to adapt at Chelsea."