Giggs served as part of the backroom staff for both David Moyes and Louis van Gaal, becoming assistant manager under the latter, but he left the club this summer following the appointment of Mourinho as manager.
At his unveiling yesterday, Mourinho told reporters at his press conference, as reported by Sky Sports: “The job that Ryan wanted to have was the one they have given to me. It’s not my fault. He wanted to be manager of Manchester United.
"He could be whatever he wanted in the club; they wanted to give him any important job, but he made a decision.
"Ryan wants to be a manager. Like 16 years ago, when I decided myself that I wanted to be a manager. Ryan has made his decision."
Giggs's departure brought to an end a 29-year association with the club as a player and a coach; an era that has seen plenty of silverware, mostly under the management of Sir Alex Ferguson.
He announced he was leaving the club on Saturday but the report in The Times suggests that Mourinho did not speak to Giggs before he left the club about any position; while friends of his are said to have suggested that any role for Giggs would have been a vague development role with no first-team responsibilities.
It goes on to say that Giggs was willing to 'finish his apprenticeship' under a manager of Mourinho's stature even though he does have a desire to become a manager.