The Seagulls picked up their first three points this term with a 1-0 victory at Birmingham last weekend and Garcia now wants the home faithful to enjoy that winning feeling.
"I trust the players and they have to trust what we are doing, how we are working," he said.
"They are quietly confident and we want the Burnley game to arrive as soon as possible.
"I know how the players were working and at the other games we deserved a better result, and finally we got a victory in Birmingham - which is not an easy place to win.
"We want to win in front of all of the fans. Last Saturday we did it in front of some at St Andrew's but this Saturday we have a chance to do it in front of all of them here. We will try to play a good game and get the three points."