The Blues won with Spurs seeing two red cards during the thriller.
"It was the weirdest game I've played in I think," said Gallagher to the club's website. "It was the craziest game, but in the end I'm buzzing with the win, which was all we needed. So it was a strange game but a good one.
"It was crazy. Honestly, I didn't know what was going on, but at the end of the day it's three points and we move on.
"It's a massive win. We've got a tough run of games so we're staying focused and moving on to the next one, which is going to be massive again. So we're looking forward to getting back to work and preparing for the next game."
On the dismissals, Gallagher also said: "They made a couple of bad tackles. At the time I felt the one before, from (Destiny) Udogie on (Raheem) Sterling, could have been a red card as well. I haven't seen it back, but I thought it looked like it was a bad tackle.
"The first one that was given was a deserved red card and we took advantage and the game went from strange to even stranger. I don't even know how to word it! But it went in our favour and we managed to get the win.
"The checks were very long and I suppose they need to be, because the refs need to get the decisions right. I haven't seen all the replays but it felt to me on the pitch like they did.
"It's strange for players and frustrating at times, because players can stiffen up a bit when we're just waiting around, but VAR is part of the game and getting the right decisions is important, because that can be the difference between getting three points and no points."