Deal said Emirates had rescheduled his flight for the early hours of Wednesday, but he was unsure it would be going ahead.
He added that Dubai was quiet as tourists and residents took shelter.
“We went out and stood on the beach last night at around about half past eight, nine o’clock, looking toward the marina part of Dubai, two nights before then it was all lit up, it was glowing and there was a buzz.
“Last night was really eerie, it was quiet, there was no noise at all.”
He added: “All you could hear was the fish in the sea in front of us plopping and diving and that was it.
“It was kind of spooky.”
Deal said he had spoken with other tourists who were scared and concerned.
James Cartlidge, Conservative South Suffolk MP and shadow defence minister, said he was concerned for British nationals in the region.
“Hopefully the Foreign Office will be sharing as much information as possible,” he added.