The fly-half has moved to Kingsholm following Wasps' signing of All Blacks number 10 Lima Sopoaga, a decision that raised eyebrows due to his performances since returning to his boyhood club in 2016.
Cipriani's form was good enough for him to earn an England recall and he shone in last Saturday's final Test win against South Africa.
St Quinton became the majority shareholder at Gloucester in 2016 and says the 30-year-old is the type of player he had in mind when forging his vision for the club.
"It's fantastic, isn't it?" he is quoted as saying by Gloucestershire Live. "There are only two or three players in the country who have got the kind of box office that Danny Cipriani has, so I hope we've got him at a time in his career where he's sufficiently mature and understands the ethos of this club and what we're about.
"If he buys into that Danny will be a key member of the squad next season."