Lee has questioned Carver's decision to bring on two defensive players when drawing 1-1 at Palace, suggesting it is symptomatic of a wider problem with the current Newcastle mindset.
The ex-midfielder feels the club simply have to adopt a more attack-minded approach as there is no longer anything to lose from their season.
Indeed, Lee feels relegation is no longer a realistic threat, leaving the Magpies in exactly the same position they were this time last campaign. This time around, though, he wants the man in charge at Newcastle to put the fans first for a change.
"John Carver put on two defensive minded players for two attackers at Crystal Palace to make sure we got a point," the former Newcastle midfielder said.
"That’s what everyone does. We should be different. What does he have to lose? Go for the win. If it doesn’t work out then so what. We might finish eleventh and not tenth. Big deal. At least we tried.
"Carver wants the job and I wish him luck. However, surely it would be better if the supporters can see that he is sending out his team to play in the way that crowd expect their team to be."
Newcastle sit 11th in the Premier League after the 1-1 draw, with Crystal Palace currently five points behind them in 13th.
In their last 10 games, the Magpies have won just twice and, despite it only being early days in his tenure, it is important to note that Carver has only won once since Alan Pardew left St James' Park for Crystal Palace.