Kabore made a dream start to life with Wrexham last season as he registered a pair of assists on his debut to help the Welsh side earn a 3-2 win over Norwich City at Carrow Road.
He was a mainstay under Phil Parkinson prior to sustaining a hamstring injury while on international duty during the November break.
Kabore made his long-awaited return to action for Burkina Faso in the 2025 Africa Cup of Nations before again featuring prominently for Wrexham in the second half of the season.
The 55-cap international moved to Man City from Mechelen in 2020 before immediately returning to the Belgian club on loan.
He went on to have loan stints with Troyes, Marseille, Luton Town, Benfica and Werder Bremen prior to joining Wrexham on transfer deadline day in September last year.
Right-back Kabore – who operated as a wing-back for Wrexham last term – leaves Man City having failed to make a single senior appearance for the club.
Parkinson has already added full-back Danny Imray, goalkeeper Anthony Patterson and midfielder Ben Whiteman to his ranks this summer.
He has been eager to further bolster his wing-back options while the experienced manager could also sign a centre-back and an attacking midfielder prior to the 23:00 BST transfer deadline on 1 September.
Wrexham are also interested in a move for left-back Jacques Ekomie from French side Angers.
Wrexham – who finished seventh in the Championship last season in what was their first second tier campaign in 43 years – return to action against Birmingham City at the Racecourse Ground on Friday night (20:00 BST).