The festival's director and chief executive Paul Ridd said the festival was approached by Zellweger's producer at an early stage and that they "fell in love" with the film.
"It's such an honour to have her first film premiere with us, and a world premiere too," he said.
"It's a beautiful animation and so interesting for someone so iconic for her film roles, turning her hand to filmmaking."
The festival director said he was unable to confirm if Zellweger would attend the premiere but said an announcement about guests would be made in the coming weeks.
This is the second festival under Mr Ridd, who relaunched it last year after a difficult period.
"It has been an honour to bring this festival back to life," he said.
The festival, along with the Belmont in Aberdeen and Filmhouse in Edinburgh, was forced to close in October 2022 after parent company CIMI went into administration.
The Edinburgh International Festival, which has run alongside the film festival since 1947, helped it stage a small number of events in 2023.
Last year saw the event extended to a week and although this year's festival will not run any longer, it will branch out into a number of new venues, including the Hawthornden Theatre in the National Gallery of Scotland and the newly reopened Filmhouse.