Cahill produced a solid performance in central defence beside John Terry in his first outing since 17 March.
The 27-year-old has been out of action following surgery to rectify a knee problem, and he is relishing the challenges Chelsea face in the remainder of the campaign.
As well as battling for a place in the top four of the Premier League, the Blues are hoping to secure a place in the Europa League final.
"It's great to be back now," Cahill said. "It's been three weeks since the surgery, so it's been a great turnaround.
"I felt good. I've done a lot of hard work in the past couple of weeks and that's paid off. It feels strong, it feels good.
"We have to push for third. It's put us in a good position at this moment in time."