The Scot was rumoured to be a target for Celtic in January, but despite a move never materialising, Snodgrass refuses to rule out a transfer to the club he supported as a child.
"It's testament to me that a club like Celtic are linked with me," Snodgrass is quoted as saying by the Daily Mail. "I've watched them since I was a kid. I'm flattered, but everything I do is going towards keeping Norwich City in the Premier League.
"Every player wants to be successful and Celtic are a very successful club. They win things, they could have won the treble this year and winning things appeals to me.
"There are two sides of the coin - Celtic hold a place deep in my heart because I've watched them and they're the team I support. But it's all about being the best you can and playing at the highest possible level. If options come in the summer, I'll look at them."
Norwich are currently lying 18th in the Premier League with two games remaining in their season.