The former Wolves winger hopes to catch Roy Hodgson's attention after shaking off an injury which has hampered his start to life at Upton Park
A hamstring problem has limited Jarvis to just two appearances in the Hammers' first five games of the season, with only one of those coming as a start.
The former Wolves wideman's one and only England cap came in a friendly against Ghana last year under then manager Fabio Capello, but he hopes to become a regular fixture in the future.
"You have to play well for your club and play regularly to be called up for your country and that is exactly what I want to do," he told the club's official website.
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"Unfortunately I picked up a slight thigh injury in training, which has forced me to miss the last couple of weeks, but I am fully recovered now and I am delighted to be back in the squad and back on the pitch."
Despite mostly being forced to watch on from the sidelines, the €13 million man has been buoyed by West Ham’s positive start to the season.
"I think the manager has got exactly what he wanted with us having a good start and hopefully we can keep the run going this weekend," Jarvis added.
"We had plenty of chances against Norwich and maybe we should have put one of ours away.
"It would have been nice to get the win but it was very hot, which took it out of everyone involved.
"There were a lot of chances for both sides but it didn't fall right for either one. Overall I was just pleased to be involved in the game and happy to be back."