Chief executive of The League Against Cruel Sports, Joe Duckworth, said Friday's meeting had "sent out a very clear, strong and positive message that many organisations and individuals are united in making sure that this barbaric act is not allowed to proceed".
Goodell, speaking at a meeting with sports editors at the NFL's headquarters in New York, said the in-game experience is still a better experience than staying home.
The prince is also shown in Sunday night's programme meeting TV chef Jamie Oliver during a visit to Carshalton Boys Sports College, south London, where he revealed his favourite food at school was "Marmite on fried bread".