Atletico are the slight favourites to make the semi-finals following a 1-1 draw in the first leg at the Camp Nou on Tuesday evening.
However, Barta has insisted that his side will "give everything" to turn the tie around next week.
"1-1 isn't the best result, but we reacted well after their goal," he told reporters after the match.
"Atletico have a great team. We'll give everything to turn this around."
Bartra was introduced after just 11 minutes last night due to an injury to Gerard Pique.