Taking charge of his maiden league match as Madrid head coach after replacing Zinedine Zidane, Lopetegui oversaw Madrid's 2-0 win over Getafe at the Santiago Bernabeu on Sunday.
Madrid suffered a 4-2 extra-time defeat to rivals Atletico Madrid in the UEFA Super Cup last time out but Lopetegui's men bounced back thanks to Bale and Dani Carvajal.
After Carvajal opened the scoring in the 20th minute, Bale – headlining Madrid's forward line following Cristiano Ronaldo's move to Juventus – doubled the lead six minutes into the second half.
Discussing Bale's performance afterwards, Lopetegui told reporters: "I liked the team's performance in general and Bale had a very good match.
"He offers lots of different things, like the other players. We must continue working, the team always comes before individual talent and that goes for Bale too."
Lopetegui added: "We're satisfied with the win and happy because the team did a lot right. There's still room for improvement at this stage of the season, as with all teams. We played with intensity, played as a team and scored two goals against a side who had the third best defensive record last season and who came here and made things difficult."
There was no debut for Thibaut Courtois in the Spanish capital as Keylor Navas retained his place against Getafe.
"We'll be running with three goalkeepers in the squad. We're delighted with the competition for the goalkeeper's jersey. It's marvellous and I don't see it as a problem, but rather see it as us having several options," Lopetegui said.
"We'll make decisions as the season progresses. We're really happy with the performance levels of our goalkeepers."