Jermaine Beckford scored both goals at White Hart Lane but Snodgrass pulled the strings as a deep-lying forward or attacking midfielder behind the striker, giving an example of why Barcelona were once interested in him while at Livingston.
The 22-year-old Scot said: "It actually shows you we are on the way up and can compete with these Premier League stars and against a top-class side. But it's up to us now to produce in the league and try to get up.
"You want to try and play the highest you possibly can and I played against Liverpool in the Carling Cup this year and felt comfortable, and felt comfortable playing against Tottenham. It was my job to try and create a few things."
"You turn up at Elland Road against Liverpool and it's just like the Champions League nights back again, it's first-class," Snodgrass said. "And all credit to the players that we've got this tie back.
"I think we can beat them. You can't go into any game thinking you can't beat them otherwise there's no point in being a professional footballer. You show them the respect when you're on that park, but they're human, just like us. It's up to us to produce.
"We're not scared of any team - Liverpool, Manchester United, Tottenham, these are top-class teams, and I just think we should be really, really proud of ourselves because teams have gone to those places and crumbled. And I don't think we did, against Spurs I thought we were the better team."