The interim under-21 coach believes that the former Three Lions defender's wealth of experience makes him ideal for the job on a permanent basis
Eastick, who has been placed in temporary charge of the youth side tonight in the 49-year-old's absence, believes that the former England international has all the qualities to succeed.
"I've been with Stuart to two European Championships in Sweden and in Denmark and I can tell you the squad was meticulously organised the whole event," Eastick said.
"I'd like to think one day he would be the England manager. If he was German or Dutch, I think the public perception would be that he should have the job.
"If you were a German player that had played at the highest level and represented your country for a long time, been to three European under-21 championships, a senior World Cup, an under-20 World Cup, I think they'd all think he'd be a fantastic contender.
"He's made it clear he doesn't feel ready for it at this moment in time. Having said that, if there isn't an England manager appointed before the Euros, I think he's the best person to take the senior squad."
Pearce leads his side into Wednesday night's friendly missing several key players as he looks to encourage a young squad to put themselves into contention for a place at Euro 2012.