Zaroury, who joined the Clarets in the summer of 2022, was a regular in Vincent Kompany's side during last season's promotion-winning campaign.
The winger scored six goals and provided six assists in 34 league appearances to help the Clarets cruise to the Championship title.
However, the Moroccan has fallen down the pecking this season, making five substitute appearances in six Premier League outings.
Having found playing time hard to come by, Zaroury has been allowed to join Hull on loan for the remainder of the 2023-24 campaign.
"I'm so delighted that Anass has agreed to join the club," Hull boss Liam Rosenior told the club's official website.
"He's a player of proven pedigree at this level, having been a huge part of Burnley's Championship-winning season. Anass is someone I've absolutely loved from the first time I saw him play and he's going to give us so much quality from wide areas.
"He's going to get fans off their seats. He's a technical player who takes the ball, can go one v one and completely fits into our style of football.
"Credit to Acun and Tan for backing me. This signing sums up the ambition of the football club and where we want to get to."
The arrival of Zaroury wraps up a busy winter window for the Tigers, who have brought in Ivor Pandur, Ryan Giles, Abdulkadir Omur, Fabio Carvalho, Noah Ohio and Billy Sharp.
Eighth-placed Hull are sitting two points adrift of the playoff places ahead of Saturday's home meeting with Millwall.