Pedro Neto and Enzo Fernandez struck the goals as Chelsea secured a 2-0 win.
Maresca said afterwards: "I didn't like this kind of win, because it's tough. It's tough after the international break, 12:30, Burnley away, it's always a tough game. But the way we competed I am very happy.
"To come here and not concede is very difficult. It's normal to concede something. But overall they only had one real chance. During the game they didn't have any big chances and during the game we had loads of chances.
"Be ready. Andrey (Santos) is doing very good. Today is a tough game, he is not playing much. It is not easy when you don't play a lot."
On Reece James coming off, he also explained: "We planned 45 minutes for Reece James.
"It was very important to keep the momentum from before the international break. Now we'll recover our energy and are on to Tuesday."
On his midfield scoring goals, Maresca stated: "We work on some patterns for sure. I prefer the five players at the front to score 10-12 goals than have a striker to score 40 goals.
"I like the wingers scoring, giving assists like Jamie today. We work on some patterns to create some chances for attacking players."
On Liam Delap's performance up front, he added: "Be patient - no doubt the goal will arrive. Liam is the type of striker where you as a defender is always worried."
Asked if he is enjoying being in charge of Chelsea, Maresca also stated: "I'm very happy since I joined the club, not just in this moment. If you lose one game, it's a crisis, if you lose two, it's a huge crisis. We expected a Burnley back five today but they went back four so we had to change and adapt after 20 minutes.
"We are confident. We are doing well. Today, we could have done many things better, no doubt, but in the end, it was important to win the game. We are confident."