Bale has won the Champions League twice since arriving from Tottenham.
"At Real Madrid we have high expectations and in whichever tournament we take part in we look to get the best results, whether that be the Champions League, La Liga, the cup...We're going for everything this season," he said.
"It's important to try to win La Liga because it's been a few years since we have and it's normal that it's our focus. But, as I said, the objective is to try and win as much as possible, La Liga included. I'm looking forward to next weekend's game against Osasuna and I'm sure that they will make it difficult for us, but it'll be great to be able to call upon almost the whole squad."