The Spanish stopper missed three games earlier in campaign through suspension, but returned to the Hammners' starting line-up for their 2-1 victory over Manchester City at the weekend.
Adrian put in an eye-catching performance at the Etihad to thwart City's expensively-assembled attacking unit, and Lanzini is delighted to have him as a team-mate.
“We are very lucky to have Adrian as a keeper," he said. "He was very good on Saturday, he made good saves and thankfully for him we won.”
Lanzini's start at West Ham has been hugely impressive, and he has adjusted to English football with remarkable ease - considering where he came from.
The Argentine was signed from Al Jaziri Club on loan over the summer, and few could have predicted that he would make such an impact so early on in his Hammers career.
Lanzini has become a key component in West Ham's starting XI, and the 22-year-old is enjoying working with Slaven Bilic at the Boleyn Ground.
“Slaven Bilic is a very good manager and a very good person," he added. "Everything he tries to teach us is reflected on the pitch. He reads the game very well so we hope to keep getting the kind of results we’re getting."
West Ham are currently sat third in the Premier League table on the back of their fine start, and have a Capital One Cup match against top-flight rivals Leicester City next on their schedule.