10:00 am - 11:30 am La Mesa Flag Day Parade June 3, 2023 @ 10:00 am - 11:30 am PDT La Mesa Flag Day Parade Come cheer on the LMHC as they participate in the 24th Annual La Mesa Flag Day Parade. The parade kicks off at 10:00 am and proceeds through La Mesa Village down La Mesa Blvd.