Garcia, who took over from Gus Poyet after a turbulent summer at the Amex Stadium, added what makes the start even more disappointing is the fact that the Seagulls have thrown away leads in each of the matches.
The start of the Spaniard's tenure has been badly affected by injuries and he is keen to strengthen the squad, having recently swooped to add Bolton midfielder Keith Andrews on a season-long long.
"We had chances to score but were not clinical, whereas Derby took their chances. We've had the lead in all three of our games so far and have ended up losing.
"If I had a dream this would not be the start I would have wanted.But we have many, many games to play and we will improve."
Garcia, who is having to do without injured midfielders Liam Bridcutt and Andrea Orlandi, is keen to put his own stamp on the team by making some changes.
He added: "I need to change some things because every manager wants to introduce different kind of things.
"After we conceded the second goal we played as I want us to play and we will improve. Obviously we are hoping for a bit of luck as well."
- Sports & Recreation
- Gus Poyet