Iran retaliated to the US and Israeli attacks with missile strikes across the Middle East.
Airspace in the region has been closed, meaning return travel to the UK has been difficult.
The jockey, who rode three winners at last year’s Royal Ascot, told BBC Radio Berkshire he saw “clear signs” of missiles and interceptors going over Dubai while at Meydan Racecourse on Saturday.
He recalled the moment Dubai’s leader, Sheikh Mohammed bin Rashid Al Maktoum, turned up at the racecourse on Saturday to watch one of his horses race.
“That was quite reassuring to see His Highness at the racecourse when it was all starting to kick off.
“I think everyone all of a sudden stopped panicking to some degree.”
Shoemark praised the authorities for doing an “incredible job here making us feel safe and calm”.
He said he was due to fly home on Sunday, but his flight was cancelled and he now thought Thursday would be the earliest he could fly home.