The Gunners withstood plenty of pressure from the visiting Germans in their Champions League clash at the Emirates Stadium before scoring twice late to produce a much-needed 2-0 victory thanks to second-half goals from Olivier Giroud and Mesut Ozil.
Arsenal were on the ropes prior to the contest having lost their opening two European fixtures and Coquelin admits it was a plan to sit back and let Bayern dictate terms before coming with a late flourish.
"We knew Bayern would have a lot of the ball, but in the recent games against the big teams we have not had as much possession and counter-attacked," said the French midfielder.
"It worked well again here and everyone defended really well and we didn't concede any goals, so I am really pleased with the performance."
"It is always difficult against Bayern but I thought we started well and we created a big chance with Theo in the first half but we didn't put it in the net," he added.
"The second half was always going to be tough but Olivier scored a great goal and after we felt that we could keep the heat on and after the second it was game over."