The move finally fills the role left vacant at City when former chief executive Garry Cook was forced to resign in September last year.
Cook quit after sending insensitive emails regarding the condition of cancer sufferer Dr Anthonia Onuoha, who had been acting as the agent of her son, then City defender Nedum Onuoha. City launched a wide-ranging search for a replacement and recast the role, as reflected in Glick's new job title.
Glick, who worked in minor league baseball and the NBA in his homeland before joining the Rams in 2008, is due to take up his new role in August.
He said: "This is an exciting time for all connected with City, and I am looking forward to joining and helping to drive the club's off-field development on its future journey.
"I have been impressed by the ambitions and plans set out by the chairman and board. I shall use my experiences here in England and in North America to help City build on its recent successes and achieve new milestones in Manchester and around the globe."