Morgan, who finished 10th at Rosa Khutor Extreme Park, had his interview cut short after appearing to swear when asked how he approached his runs.
BBC presenter Hazel Irvine immediately issued an on-air apology when the Southampton man apparently said: "I just thought 'f*** it'."
GB Snowboard confirmed that Morgan had said: "I just thought 'huck it'."
'Huck it' is a slang term used by snowboarders to describe 'going for it'.
Morgan is understood to be very relaxed about the mix-up.