Madrid can win a total of six trophies this season, and after reaching their first target in Cardiff on Tuesday night, Bale believes that the likes of Toni Kroos and James Rodriguez will quickly settle down to help the team achieve more success.
"Everybody comes to Real Madrid to win trophies and play with the best players in the world. We're expected to win trophies. Hopefully we can win every one this season," the Welsh winger told ITV.
"The most important thing for us was to get the job done. We played well, obviously it'll take a little time for everyone to settle in, but we gelled as a team and we've got plenty of time to improve."
Real meet Atletico Madrid in the first leg of the Spanish Super Cup next Tuesday.