The Scot has praised the 30-year old centre back’s performances and says he should look to copy the departing Phil Neville's example to become a successful skipper
Jagielka has been an integral player for the Toffees since Moyes signed him from Sheffield United in 2007, making 209 appearances since his £4 million move to Merseyside and earning 16 caps for England.
Moyes has praised the centre-back’s performances, labeling him “a top defender”, and says Jagielka will benefit from observing the way current captain Phil Neville has led the side both on and off the pitch.
The Everton manager told the club’s official website: "If Phil Neville hasn't played, Jags has taken on the role - and he will do.
"He's developed into a top central defender. His performances have been excellent.
"He just needs to look at Phil (Neville) and see how he conducts himself off the field, making sure the players are alright and everything's going in the right direction.
“If Jags can do that, we'll hopefully have another period of success with a successful captain.
"His play has been excellent and his performances have merited it.
“But he's got a big act to follow because Phil Neville off the field is terrific for the players and he's been a great captain on the field. He'll always put the team first."