The Premier League announced on Tuesday that six people had tested positive for coronavirus out of 748 at 19 clubs. Norwich conducted their tests on Tuesday, with the results not yet announced.
Carragher said: "The problem is, it is about getting players onside and go with the flow of the Premier League.
"Deeney has spoken about his worries, mainly with his son but also BAME people throughout society.
"You go into a barbers shop, you don't know who is there but the people you are training with and playing against have all been tested so the training grounds are safer.
"If people are picking up Covid-19 through going into football clubs then it is a big worry – something wrong with testing or people not dealing with government protocols.
"The training grounds are safe. Players who tested positive have picked it up outside.
"I would get confidence as a Watford player going back to training knowing that the people who have got it are self-isolating.
"Yes I understand we all have different worries and concerns but in the main I would as a player feel confident going back if I was at Watford."
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