Mourinho brought his three-year stint at Real Madrid to an end after making a return to Chelsea.
Although Real Madrid president Florentino Perez has hinted that Mourinho would be welcome to make a return to the Santiago Bernabeu, Arbeloa doubts that the Portuguese would ever manage Real again.
"I can't imagine Mourinho ever returning to Real Madrid," he told La Sexta.
"There are people who do not like to have a coach who will not let you relax. I prefer people like Mourinho, who tells you exactly what he wants."
Arbeloa has been singled out as a weak link in the Madrid side over the last year and the Spain international admits that he must improve.
"It has been my worst season since I arrived. I've not produced good enough performances and I am aware of that."