"I am not unbeaten at the San Siro any more but we qualified," he told Marseille's website (www.om.net) after his team reached the quarter-finals on away goals when a 2-1 second-leg defeat by Inter left the aggregate scores level 2-2.
"I am happy. I do this job to live these moments," added former France midfielder Deschamps who spent five years as a player with Juventus and also coached the Turin team in 2006 and 2007.
"There have been hard times since I came back [but] tonight I thank all the fans who were very supportive," said Brandao.
"I don't know how I got the ball for my goal, then I just shot and got a bit lucky."
Brandao's effort cancelled out Diego Milito's opener for Inter who grabbed a second goal six minutes into stoppage-time with a penalty from Giampaolo Pazzini following a foul in the box by Mandanda.
"The penalty cost us a lot because Steve is going to be suspended and we saw what he did in the first half," said Deschamps, referring to a string of saves by his keeper.
"Gennaro is very experienced," said the first-choice keeper. "He played a lot of Ligue 1 matches with Nancy and European games also.
"I'm not worried. I know he will do the job."
