The 27-year-old left-armer has helped New Zealand win one-day and T20 series against England in the past month.
And seamer McClenaghan took 3-35 as the Red Rose began their campaign with a nine-run victory at Durham on Friday.
Mitchell McClenaghan took eight wickets as New Zealand defeated England in their ODI series in June, and 11 more in the Champions Trophy.
The 27-year-old also claimed two victims in a T20 series win for the Black Caps, and took 3-35 on his FL t20 debut for Lancashire at Durham.
"I'm going to ride the wave while I can, keep enjoying my cricket and hopefully contribute to some good wins with Lancashire," said McClenaghan.He told BBC Radio Manchester: "I've always taken the attitude that I give my best every game and results will take care of themselves."
McClenaghan, who has featured in 10 one-day internationals and eight T20 fixtures for the Black Caps, has never played in English county cricket before.
But he said there was no hesitation when he agreed to become Lancashire's second overseas recruit for this season's FL t20.
"It looked like a good fit," he added. "There are lots of people that I can learn from, like Ashwell Prince and Simon Katich, who have got a lot of international experience.
"I want to learn and contribute to winning a title."
Lancashire have never won the domestic T20 tournament since the competition's inception in 2003 - the closest they came was in 2005, when they lost to Somerset in the final.
