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Ahead of the clash with Sociedad, head coach Quique Setien described the focus on Sarabia's outburst against his players during the Clasico as "a bit embarrassing" and urged his assistant to show control.
Setien also apologised to the squad, but Pique stressed that was not necessary after playing the full match at Camp Nou.
"The assistant coach is full of adrenaline and intensity which manifested itself in this way at the Bernabeu, but it is all completely normal for us," Pique said after Lionel Messi's late penalty gave Barca victory.
"All the players discussed it in the dressing room. The boss apologised and we told him that nothing had come from us; if anything it [the controversy] related to the image of the club.
"What's more, we like that there's intensity in the dugout and they are living [the game] too.
"When the club is weak, these types of things come up. A few weeks ago, the talk was about the players not having a huddle before the game because of the change of coach, then it was the warm-up was different.
"It's the same thing. It's another story that happens after a defeat and you always have to go out and deny it. [Sarabia's behaviour] is completely normal."
Pique was relieved to get the job done against a Real Sociedad team who had won six straight matches coming into the clash.
"We knew it was going to be very tough because we are coming from the defeat at the Bernabeu and they are having an exceptional season and they've reached the final of the Copa," said the Spain defender.
"It wasn't going to be easy; they play good football, we try to, and the game was decided by the small details.
"Some hands inside the penalty area have given us the three very important points that are going to help us fight for the title."