The Australian managed just 28 matches last season as he struggled to overcome a metatarsal problem.
Cahill insists that European football should be a regular occurrence under manager David Moyes; next season the club will embark on their third continental campaign under the Scot.
After being beaten by Fiorentina over two legs last season, Cahill is eager to build on European experience next term and sees the opportunity to take his side to the 'next level'.
He told The Daily Post: "Going out of Europe to Fiorentina was a joke.
"Then the team we had already beaten in the competition won it so it shows our potential. So let's see how we go about capitalising on it.
"Europe was our reward for working so hard but this year it's not a reward it's part of the furniture. We now have the experience to take ourselves to that next level."