Neville, 33, made his 600th appearance for Everton and Manchester United on Saturday and Jagielka told Everton TV: "It is a great achievement for him to reach 600.
"He is a fantastic professional and still a very good footballer, long may it continue. Maybe he can reach 700, who knows?
"Phil is a massive player for us, he is our captain and we all look to him."
Goalkeeper Tim Howard, who followed Neville from Old Trafford to Goodison Park, added: "The fact that he's made 600 appearances is a great achievement for him, but it's not a surprise.
"His brother is the same, they come from a good family, a hard-working family and they don't take any shortcuts and certainly not in their profession.
"He's very level-headed. He takes the good with the bad.
"Being at Old Trafford for so long he saw there are going to be good days and there are going to be bad days and you can't just always crumble."