The phrase "accepting authority" is correct and usable in written English.
It can be used in contexts discussing compliance, submission, or acknowledgment of power or control by an individual or group.
Example: "In a structured environment, accepting authority is essential for maintaining order and discipline."
Alternatives: "acknowledging authority" or "submitting to authority".
"He was very turbulent as a child, and as a teen-ager, and had trouble accepting authority and regulations".
Berkman was a difficult man, kind to those close to him but constitutionally incapable of accepting authority, and lost job after job.
They need to fully understand why we approach treatment the way we do, because they search for knowledge and understanding rather than passively accepting authority.
We learn he's the second-oldest son only when he wonders if second-oldest sons have a problem accepting authority, and find out he has a girlfriend only when he's dreading going back to work after spending time with her.
Because minimizing harm can conflict with accepting authority and emphasizing loyalty, there can be fundamental disagreements within a society about what is the morally right way to behave.
A society might have a morality that takes accepting the traditions and customs of the society, including accepting authority and emphasizing loyalty to the group, as more important than avoiding and preventing harm.
His father's death led Wall to refuse to accept authority or direction from adult men.
I've never been able to accept authority, I just hate being told what to do.
Parents accept authority figures besides themselves every time they bring in a sitter or send a child to daycare.
There have been a couple of big, turning-point decisions that I've had to make where my inability to accept authority has worked out for me.
As a result, dates on a Muslim calendar can be moved by a day or so, depending on the first actual sighting of the moon by an accepted authority.
