The point saw Galtier's side stay fourth in the league table with 59 points from 35 matches.
"We don't have any regrets after this game," he told reporters. "We just didn't manage to score. We had a number of promising situations. We lacked inspiration, but also had an inspired goalkeeper up against us.
"We're disappointed because we only took a point, but it's still a point. This'll make a lot of people laugh, but let's see what happens over the rest of the weekend. The team again showed desire to attack and score.
"It just didn't go in, just like at Lyon last weekend. We have to keep going. We didn't concede; Bordeaux didn't have a lot of chances. Of course there's fatigue with the run of matches we've had. It didn't work out, but the players gave everything."
Lyon are a point ahead of Saint-Etienne in third, but they have a game in hand.