Metatron and Michael's relationship has different viewpoints. Metatron sees Micheal as a friend and always plays around with him. Michael sees Metatron as a bother and interfirerence in his work. However, the relationship also has some positive sides as Micheal is seen being nicer to Metatron before he was an Angel and Metatron is worried about Michael fading away.
Michael sees Jeanne as a valuable soldier and seems to care about her well being to an extent. Jeanne is only loyal to Michael.
Michael constantly abuses Uriel for any mistake that he makes. Michael is also the one responsible for Uriel having only one wing. Despite these, Uriel remains loyal to the chief seraph. It was proven when Metatron attempted to get the former angel of presence to his side, but ultimately failed.
During the last chapters of the manga, Michael surprisingly becomes very fond of Isaac, who takes care of him when he's in his weakest state. Michael also protects Isaac when they are attacked by Sytry and his legions of Angels in William's manor. Isaac is, in fact, one of the few individuals for which Michael has shown some real concern.