Snodgrass is one of the few Hammers players who can emerge from the side's first four games with any credit.
And the Scotsman is hoping that he can carry that form into the upcoming international fixtures.
"There's never been any doubt about playing for Scotland," he said to the club's official website.
"I love it and I want to play at a major tournament. You come up when you have pains and niggles, but I am always there and I always will be there. I'll always support the boys even if I'm not involved.
"I was talking to Faddy (Scotland coach James McFadden) about it and age does creep up on everybody, but I'm playing in the Premier League, I'm playing in one of the best leagues in the world. So I want to bring that to the Scotland team and help the young lads coming through as well.
"I'm just glad to be here, it's the start of a campaign and we need to get off to a good start. I'm happy to be here and let the young boys know what it means to play in these big tournaments, how much it means for the nation to qualify. We are all desperate for the one thing and that's qualification."