"stood in place" is a correct and usable phrase in written English.
It means to remain in a fixed position or location. Example: The soldiers stood in place, waiting for the command to attack.
Boogaard stood in place, turning slowly.
When they stood in place, the troopers charged at them.
Fans stood in place before pouring out onto the streets, another celebration on hold.
She spent less than 50 minutes onstage, barely engaged the audience, stood in place and sang largely by rote.
Some people patiently stood in place, north of Eighty-Sixth Street, for two or three hours before they even got to move.
But he also stood in place and danced in Cuban heels without necessarily looking for approval, as if you'd come upon him in nature.
"Better to stand in place than to take such a step backward".
"When I exited the machine, I was yelled at again to stand in place," she said.
The war memorial, opened in 1941, today stands in place of Griffin's casino.
Now, looking much relieved, he just stands in place, sword drawn, to deliver this daunting aria.
Hundreds of wonderful paintings stand in place of their artists' charisma.
