Police said the incident happened at the corner of Jamaica Street and Argyle Street at about 09:45.
Emergency services attended and the man was taken by ambulance to Glasgow Royal Infirmary. There is currently no information on his condition.
Jamaica Street has been closed while police carry out investigations into the circumstances of the incident.Media playback is not supported on this device
Wednesday's match in Lyon will be Wales' first in the last four of a major tournament.
Coleman