Suarez scored scored twice on the night.
He remarked afterwards: "The negative streak that we had in Anoeta was changed, this field is always difficult and we are happy with the result, obviously we wanted to continue on the same line, knowing that it is always difficult for us to score here.
"It was great, winning and turning around a game we were losing 2-0.
"Obviously the opponents also play well and Real made a good first half until we hit back with 2-1 and in the second we corrected mistakes, we have to continue on the same path."
Barca teammate Sergi Busquets added: "The game was very complicated, they put us in trouble with the short game and then in the long game. Paulinho's goal came in handy for us in the second half to certify a win and a spectacular second half."