Conte admits, however, that living away from his family - who remain in Italy - has not been easy.
Speaking to Standard Sport, he said: "I am very happy for this experience because for me and my family it is incredible".
When asked about his long-term plans, and a question was phrased about leaving Chelsea after "10 or 15 years", Conte joked: "I thank you for your optimism".
Moses put pen to paper on his new contract with Chelsea on Wednesday as the Blues rewarded the winger for his brilliant performances for the west London club this term. That's very important. In football you can be the best in the world, you can play with the best in the world, you can have played 1000 games or scored 1000 goals, but the most attractive thing about football is that you can always improve'.
"I'm enjoying my football and we have a good manager here that has given every single one of us confidence".
"They stay in Italy and I am working for the future to try to bring them here and to stay together, because my family is missing me".
Moses has performed superbly at right wing-back, following Conte's successful switch to a 3-4-3 formation that transformed Chelsea's season.
Moama drowning: Body of five-year-old boy found in the Murray
The Bendigo Magistrate's Court also heard she allegedly told witnesses the night before that she "had to drown my babies". The father of the boys has spoken of his devastation and said he was numb after learning about what had happened.
Chelsea are now 10 points above second place with 12 games to go this seasons but Moses says he and his teammates are just taking it game by game.
So dependent are Chelsea on his heroics that Conte is fully aware of the need for additional cover in the position.
"The day we won it, I remember I just went on my knees".
"We will know the other results of the other teams".
"We found players not to adapt but to play in different roles compared to the past".
Conte added: "He got kicked".
"Now he is working very well with us, he must continue to work".