Michel pleased with Sevilla start
Goals from Alvaro Negredo and Federico Fazio secured the win for the hosts.
The side finished in ninth place in La Liga last year and will hope their opening win is a sign of success to come for their 2012/13 season.
"We can take some positives from the game, the team have not lost their concentration today." Michel said.
Michel added his side has room for improvement but was encouraged with his players' ability to control the play.
"We have made some mistakes, so there are no excuses." Michel said.
"But we played really well in some phases of the game, especially in the last 25 minutes of each half."
Getafe counterpart Luis Garcia Plaza said that his side were undone by two quick goals from Sevilla in the space of four first-half minutes.
"I am not upset with the team, because I think that having fall 2-0 behind, and then having to respond at their stadium, keeping tight but still creating possibilities for drawing the match, we can say that we did well," Plaza said.
Although Delgado managed to halve the deficit, it proved to be scant consolation for the visitors.
"It was a good game, with moments that fell well for them and for us, but two goals in the space of two or three minutes tend to punish you a lot," Plaza said.
"At the final whistle, only goals count and you have to score the goals to be rewarded."
While Plaza has backed his team to improve, they next face the daunting prospect of defending champions Real Madrid on August 26.
"I am satisfied, but we have to improve. We knew the start of the season was very difficult, and now we have to face Real Madrid, but we should lift our heads up quickly because our team plays in the right way."