The 'Gin and Juice' rapper donned an Arsenal kit for the clip, which is part of the promotion for his upcoming UK tour, starting October 7.
Snoop sent the video to Wilshere via Twitter with the message: "Watup playa."
"Jack Wilshere, word up dog," Snoop says on the clip. "I hear you're the next best thing on the Arsenal team. It's your boy big Snoop Dogg. See, I'm representing for Arsenal too.
"I want you to come to my show and check me out man, so we can hang out and do it real big. From playa to playa, you know what I'm talking about. Come hang out with the world famous big Snoop D.O.double-G."
Wilshere responded: "Buzzing of that message from @SnoopDogg haha what a legend!"
The 19-year-old midfielder has been injured since the summer and is yet to play for club or country this season.
Snoop has recorded a number of videos for footballers across Europe, including Manchester United defender Rio Ferdinand and Tottenham Hotspur winger Gareth Bale.
Watch Snoop Dogg's message for Jack Wilshere below: