Following stints in 2022 and 2023, Hazlewood rejoined the Bengaluru side after being bought for 125 million Indian rupees ($1.45 million) at the auction in Jeddah in November to become the most expensive Australian player this season.
The 34-year-old, who was ruled out of Australia's Champions Trophy campaign with a hip issue, repaid the faith shown by his IPL side with figures of 2-22 in Bengaluru's seven-wicket victory over champions Kolkata Knight Riders on Saturday.
"I feel I got through the game very well," said Hazlewood, who bowled 16 dot balls in his 24 deliveries.
"I know the intensity is through the roof but it's only four overs. I feel I'll just keep building throughout the tournament and this is probably the freshest I've been in a long time.
"I've done a lot of work off the field to get back to this point, which was tough, but I think I am mentally and physically refreshed."
Phil Salt's explosive 56 at the top of the order helped the three-times runners-up easily chase down their victory target of 175 and Hazlewood was full of praise for the England batsman after he forged a 95-run opening stand with Virat Kohli.
"It's a new cycle in the IPL, but those fresh players - Salt being one of those - played outstandingly," Hazlewood added.
"The opening partnership really set up the chase for us. It was not a huge score, but still a decent total, so to get us off to that start was crucial."
Bengaluru next face Chennai Super Kings on Friday.