"If I'm being honest - and I'm one of his biggest fans - I thought he was poor", he told Sky Sports Super 6.
"I think the mood around the camp is a lot calmer from what I can remember of that last tournament", he said, comparing this squad to his first major tournament experience with England.
"You can see he wants me and the team to do well". They're going to need Kane to be at his best once again if they want to top the group. "But I believe the best teams in the world have that belief in what they are doing and in the end they break teams down".
He added: "I probably wouldn't have played Dele Alli in that [Tunisia] game and I wouldn't have been fussed about playing him against Panama".
"The important thing was always the three points, but it was good that, especially in the first half, we got the performance we were looking for".
With 15 goals in 25 appearances - including a record of 10 in 10 during Gareth Southgate's managerial reign - the Tottenham forward is out on his own as England's danger man in Russian Federation.
Despite being disappointed with the result of the match against England in the World Cup Group G clash, Tunisia coach Nabil Maaloul praised his men for the defensive attitude during the whole game.
"Put no limits on yourself, nobody should".
"You're on the back foot (if you don't win first)", Neville, who played in three World Cups, said on ITV.
"As a player, sometimes the less information the better", he said. "So I'm delighted he scored two goals and hopefully there's many more for him to come in this tournament". Hopefully he can keep that going in the competition.