Bompastor said that every trophy is “very important” for the club, but called the Champions League the “special one”.
Chelsea were beaten by Barcelona in the 2020-21 final and have also been knocked out by the Spanish giants in each of the past two seasons.
Bompastor comes to the club having been European champion twice as a player and once as a manager with Lyon.
“When I had the meeting with the sporting directors I said this is something really special to win the Champions League,” said Bompastor.
“I think we have all the quality at this club to have this trophy at home.”
She believes Chelsea have a squad capable of achieving European success – and the club have been active in the market this summer, recruiting the likes of England defender Lucy Bronze from Barcelona and France forward Sandy Baltimore from Paris St-Germain.
But she said the Blues are “still looking” at bringing in other players before the transfer window ends on 13 September.
Bompastor added: “You now how competitive the league is here, maybe one of the most competitive in the world, so it’s so difficult for an English team to perform in every game.
“I’ll make sure we have the good numbers and the quality to perform in every game.”
Bompastor will begin her Chelsea tenure at home to Aston Villa on 20 September.
Her first WSL match at Stamford Bridge will be against league rivals Manchester City across the weekend of 15-17 November.
“I can’t wait to be at that point because the atmosphere in this stadium is so special. It’s one of the most famous in Europe with all the history,” said Bompastor.
“I had the chance to play the Champions League final here as a player but I didn’t have a great experience here as a manager, though I could feel the atmosphere.
“Now, as Chelsea manager, to have the fans with us is really special. You always want to enjoy it with them. Football is something we are all passionate about.”
Read More: Chelsea: Manager Sonia Bompastor ‘really likes pressure’ of succeeding Emma Hayes
