The Nigerian was given the marching orders for simulating a foul in the final of the English FA Cup final against the Gunners in May, leading to a game ban.
But the 26-year-old will be eligible to play in the Community Shield according to the English FA because the encounter is considered as a friendly.
However, Moses will be unavailable for the Blues’ English Premier League opener against Burnley at Stamford Bridge on August 12.
“This is an official game. This is the first trophy in this season. This is an important game for us,” Conte said during Friday’s press conference.
“Friendly games ended for us.
“Moses is eligible to play on Sunday but I have to find the best solution to replace him against Burnley.”