The Chilean striker moved to Old Trafford in August 2012 but has never made a senior appearance for United, instead spending the last two seasons on loan with Wigan Athletic and Real Zaragoza respectively.
But Henriquez has hit the ground running since moving to the Croatian capital in August, scoring 11 goals in 17 appearances, and admits he would relish the chance to extend his stay with Dinamo beyond this season.
"Dinamo is making an effort to buy my contract from Manchester United, which means they are satisfied with me," he told the club's official website.
"I feel great at Dinamo and in Zagreb, I feel great on and off the pitch and that is why I want to stay here. People here accepted me, I've gained many friends, Zagreb is beautiful city and the fans love me too.
"We are on the way to win the double and to compete in Champions League qualification and I am looking forward to being a part of that."