Mr D’arcy Smith said: “I looked at my friend and he knew straight away. We both thought this is wrong.
“I had this rush of emotions – I was upset, a little bit angry, shocked and scared. I just froze in place.
“I don’t think a lot of people understand what racial abuse is like.
“You are essentially saying a black person is not human and they are an animal.”
In a statement, Wetherspoon said it had apologised to Mr D’arcy Smith for any distress caused.
“This is now a police matter,” a spokesman added.
“We have responded to the customer and pointed out that the pub cannot be held responsible for app orders.”