The teams go head to head again in Amsterdam on Wednesday night, when a draw against Frank De Boer's side, who sit bottom of the group with one point, would leave the Scottish champions in pole position for a Europa League spot.
However, with Barcelona playing AC Milan in the Nou Camp the same night, a Celtic victory could see them leapfrog the second-placed Italian club, who are on five points, thereby handing the Hoops the chance to clinch qualification to the knock-out stages of the Champions League for a second successive season.
Twenty-five-year-old Irish striker Stokes, fresh from signing a three-year contract extension with Celtic, is confident ahead of the trip to Holland.
"We go out to win every game, even in Europe," he said.
"It is very difficult with the class of opposition you are playing against but that will always be the mentality here at the club.
"Obviously they are a great side with some great individual players but they probably over-play at times.
"That was something that we looked at, we watched a lot of videos of them.
"We obviously wanted to play a counter-attacking game and we did it very well.
"We limited them to opportunities which were not great and big Fraser Forster did his bit at the back and kept them out when they did get through.
"But we will have a look at the first game at home again and see what we can do."
Stokes accepts that Ajax are likely to dominate possession as they did at Parkhead.
But the former Sunderland player believes Celtic are becoming more comfortable with playing a different kind of game than they are used to on the domestic front.
"They have a lot of possession in games but it is about where they play," he said.
"They use their keeper like an extra (outfield) player and the ball goes through him an awful lot but for large spells they don't really damage you.
"If you are keeping them in certain areas of the pitch you can be quite comfortable.
"When you look at the sides we have in our group, it was always going to be difficult.
"We are against some of the best footballing sides in the world.
"It is not going to be like normal domestic games where you have the lion's share of possession so you have to adapt your game.
"I think the boys did outstanding last year (to reach the last 16) and we are still learning but we are doing all right.
"It is a massive game on Wednesday and we need to get something out of the game."