Whistled during Barca's win at home to Villarreal midweek, Suarez responded by scoring his third LaLiga goal of the campaign – a lobbed effort in the 41st minute.
Barca head coach Valverde lauded 32-year-old forward Suarez, who has come in for criticism due to his form.
"Goalscorers sometimes score and sometimes they don't, but Luis always perseveres," Valverde said. "He fought for a long ball and was rewarded."
Barca had lost two and drawn one of their opening three away fixtures in LaLiga prior to Saturday's triumph against Getafe.
The result left Barca fourth in the standings, two points adrift of leaders and bitter rivals Real Madrid.
"It was important not to make mistakes early on like we have done in other games," Valverde said. "That was fundamental. The goal calmed us down and, from there, we imposed ourselves well. We didn't give much away and had chances to score more.
"If you want to win LaLiga you have to win a lot of games away from home, not just your home games. Getafe were a tough rival, it's a hard place to come and we've played well. Now we have three days to prepare for Inter."
Barca were without Ousmane Dembele for the Getafe trip due to a thigh injury and it remains to be seen whether the France international will be fit for Wednesday's Champions League showdown against Inter.
"It's true that I left him out of the [matchday] squad," Valverde added. "It was more as a precaution. He's told me that he is calm. We think it's a little nuisance, but it's nothing serious."
When asked if Dembele would feature against Inter, Valverde replied: "I don't know. I wish that wasn't the case, but I can't say for sure."