A James Tavernier penalty and a first Rangers goal for striker Cyriel Dessers saw the Light Blues ahead early in the match, before a penalty reduced the deficit.
Speaking to RangersTV after the match, Beale said: “We started the game ever so well, the atmosphere in the stadium by the fans and the players was fantastic and we got ourselves 2-0 up.
“The penalty changed the complexion of the game and after the sending off we pushed and pushed against a team that sat in and their goalie made two fantastic saves, one from Cyriel Dessers one from Sam Lammers.
“There were a lot of other near chances in the final third but I was happy with our energy and our pressing and running.”
“The first two goals came from real good desire from the team, Borna [Barisic] I thought put in a number of good crosses all night and it was a good cross for the second goal.
“The first goal was huge desire from Nico Raskin and then Todd Cantwell and I thought those two put a super amount of energy into the game tonight running forward and we caused a good team a lot of problems.”
With a one goal advantage to take into next week’s second leg in Geneva, Beale knows the tie is not over and said the squad will reset ahead of the next fixture.
He continued: “I have watched Servette in the last few weeks against Genk and they are resilient, and they hold on and stay in games. We know we have to go to Geneva next week and put on a really strong performance, this tie is nowhere near over.
“We won the game first and foremost. It is a European game and we won it so we go away now with an advantage, but we will reset and we'll have to go and be at our best again.
“Yes there were chances tonight we could've taken, but there will be chances next week and if we are more decisive then goals will come.”