Good relationship between the manager of a club and the owners helps the team to be together, a divided house can not flourish, when the manager is not in a good terms with the management the whole situation may affect the performance of the club entirely
I remember during the time that Chelsea just came under the management of Todd Boehly, the coach Thomas Tuchel was doing good with the team, but he was still sacked because I heard he did not have a god relationship with the new owners of the club. Since that decision was made, Chelsea has been affected in their performance.
No matter how good you are as a manager in as much as you were hired by a person or group of persons, you are answerable to them because there are conditions and reasons that made them to hire you as such you don't act on your own, although many managers has used their coaching strategy to bring success to a club and thats the purpose for their employment but before you make any step as a manager, you must involve the owners of the club before anything although sometimes club owners are very annoying in terms of decision making.
The owners of some clubs interfere too much with some managers and some managers cannot tolerate it. Managers have a right to it, because they were hired to do a job, and some of them will not be able to do that work properly if the management keeps interfering.