"I think next Saturday will be pretty special, it will be one of the biggest fixtures we've staged as a club, but how great is to stand here now and say we are battling for a place in the last eight of Europe," said Baxter.
"An Anglo-French clash at our place, I just think it has all the makings of something special, so it will be great to see all our supporters turn out in force for the game.
"If we can beat Perpignan, every point scored, every try we gained, that will count for something and it could well be that the result we got in Italy that gets us a home quarter-final. We have a big 80 minutes to get through against Perpignan, but we know we can attack that game and look to get something out of it.
"We know, regardless of what happened in the other game, if we win next week we will top the group and that's a fantastic position to be in."
Exeter are in only their second season in Europe and last season they won three and lost three of their tournament matches so with four wins in the bag they are already ahead of where they were a year ago.
"We've now got a larger group of players available for selection and all those involved on Saturday have pushed their claims for a place again this week," said Baxter.
"At the same time, we've been able to rest up a few of the others guys who needed a break, so again we will be strong next week, attack it full on and get what we can out of the game.
"If we can keep progressing in Europe that would be great, we often say to the guys we want to try and go into that last game with something to play for. Well, we are going into that last game with something to play for, so let's go for it.
"We knew we had to go over to Italy last weekend and win, we had to get five points and we had to score as many tries as we could. In the end we wrapped all that up pretty well, but at the same time we've picked up a couple of disappointing injuries which kind of takes the gloss of things a little bit.
"The endeavour of the team was fantastic. Everything went pretty much to script; we controlled long periods of the game and scored some good tries.
"The disappointment for the boys at half-time was that maybe they hadn't turned more of the possession into points.
"But as a coaching staff we told them we were pretty much on schedule and if they carried on as they were, they would pretty much get the benefits of their efforts later in the game and that's how it proved.
"And our fans were fantastic, they kept going throughout the game and, a bit like us as a team, they are enjoying the experiences of Europe and we are very much in it together.
"You could see at the end how much it means to not only the supporters, but also to the boys as well. They are very aware of the efforts these supporters make to go to places like that, so it's always nice to reward them with a win."