Zamora missed two good chances to mark his full international debut with a goal in Tuesday's 1-0 win over Sweden and afterwards branded his own performance as "not the greatest".
But with Wayne Rooney suspended for the group stages of the tournament, there is a place in attack up for grabs and Jol says 30-year-old Zamora can feel the breach.
"He was very quick to call himself but players know when they haven't played well," said Jol.
"When a striker scores he has done well. It's about performances so if he gets another chance or a couple of chances, he will take it because he is different.
"They are all different. Darren Bent is different, Jermain Defoe is different, Wayne Rooney certainly is different. And I don't feel they have a lot of players who are a real number nine who can hold up the ball.
"It's up to the manager - if he wants to play with a goalscorer, then Bent is probably the best goalscorer in England, he's certainly different to Bobby. But if you play Bobby with offensive midfield players he can be very useful."