Brighton goalkeeping coach Martinez was sent to the stands following a shove on Forest assistant manager Rob Kelly immediately after the sending off of Forest midfielder Nathaniel Chalobah for a second yellow card 23 minutes from time.
Garcia was guarded in his comments and said of the incident: "Sometimes this kind of thing happens.
"It's a game that everybody wants to win and we tried to play against them face to face. He (the referee) didn't send anyone off from Forest and sometimes it's difficult to keep calm."
The injury-plagued Seagulls have only won one of their last seven games and Garcia is concerned at their record of scoring just five goals in six matches.
He added: "I'm proud of how we are playing. It's significant that the ground is full and I'm proud of the fans and the way they supported the team all the time despite the bad result.
"I'm also proud to be the coach of Brighton. The fans support the players and the team. They know we play attractive football but the black point is we don't score."
Garcia felt it was no disgrace to lose to a Forest side containing "high level players" with "one of the highest budgets in the league".
He added:"The facts are that we have seven or eight players out injured. When you see their bench, they have players who can change everything. But we tried to get a win against a very good team.
"Now coming into the international break it's a good time to get a rest and we will do our best to add to the squad by getting some new players in."