Police cordoned off Renfrew Street at 2:25 p.m., following reports that Renee was inside the Macintosh Hotel.
The nature of the problem is currently unknown.
Police are being questioned.
A spokesman said: “On Friday, September 3, at 2 pm, the police were called to report a man who caused trouble inside a hotel on Renfrew Street in Glasgow.
“Officers attended and one person has been arrested in connection with the incident and is being questioned.”