"resume normalcy" is correct and usable in written English.
You can use it to suggest that something has returned to a more normal or usual state. For example, "After the global pandemic, normalcy will eventually resume."
Once refugees arrive, they need to be able to resume normalcy--earn a living, integrate into society, be allowed the opportunity to live safely.
PARIS — Just as European markets seemed to resume their normalcy after the tumult of their sovereign debt crises, the wolves are back at the door.
And Treena Clark wrote: Forget about resuming the normalcy of daily life and trying to race to work.
Slowly her life resumed some normalcy; she went back to school to become a dedicated Montessori Teacher and eventually a beloved Administrator.
And where should Americans be this Halloween, balanced between frightful warnings of a new reality and injunctions to resume an old normalcy that seems ever more remote?
Try to resume to the normalcy of your days before your mom died.
Life will soon resume an air of normalcy.
In the weeks following Melissa's death, Ms. Avrin mostly avoided her daughter's bedroom, and tried to resume some semblance of normalcy, going back to work three days a week as the coordinator for a consortium of academic libraries in New Jersey.
Ms. Wilson said that she could not comment on the case, which is yet to be resolved, but said, "Like everyone I believe in the astronaut office, we were all very surprised, we felt it to be very tragic and look forward to the resolution so that she and her family can resume some sense of normalcy".
For now, the quaint village streets of Lac Mégantic are at a stand still as the town awaits some sort of normalcy to resume.
