Conte, whose team eased to victory on the back of a Kane double and a strike from Son, was unhappy with Arteta's assessment of the referee.
Spurs' latest failure was just as much of a blow to Leeds in their battle to beat the drop.
City host Tottenham on Saturday looking to hand the visitors a fourth successive league defeat.
Conte threw on Bergwijn in the 79th minute with his side trailing 2-1 and he delivered the killer blows to extend the team’s unbeaten run in the Premier League.
Conte stressed the importance of truthful communication with his players in the wake of Spurs' 2-0 defeat in the first leg of a League Cup semi-final against Chelsea.
Conte said Wednesday's 2-0 defeat at Chelsea in the first leg of their League Cup semi-final showed how far his current club lag behind his former one.
Arsenal face Liverpool in the other semi-final and Conte said at this stage of the competition there is no easy draw.
Salah is in a fantastic run of form in the league, leading the charts of goals and assists in the competition with 24 league goal contributions.
Conte said 16 players, including young players, trained on Wednesday ahead of Thursday's Premier League trip to Leicester City which is scheduled to go ahead.
The Premier League Board has taken the decision to postpone the game following guidance from medical advisers, with the health of players and staff the priority.
Conte won three Serie A titles with Juventus before winning the Premier League and FA Cup with Chelsea.
Tottenham Hotspur have called off talks with Antonio Conte to become their new manager to replace the sacked Jose Mourinho, British media reported.
Romelu Lukaku said he will remain at Inter Milan next season after the Belgium forward helped them to their first Serie A title in 11 years.
The 49-year-old left Spurs in November 2019 after five years in charge and was replaced by Jose Mourinho, who was sacked last month
Hakimi came off the bench and minutes later set up Italy defender Darmian to grab the winner in the San Siro.
Eriksen could leave the Serie A club next month after struggling to settle in Italy following his transfer from English Premier League side Tottenham Hotspur.
Conte was in a predictably irritable mood after his side’s Champions League group-stage exit on Wednesday,
Conte said it was psychologically tough for his side to lose Hakimi to a positive COVID-19 test hours before the start of the game against Moenchengladbach.
Conte said he has no intention of quitting Inter Milan following his side’s 3-2 defeat to Sevilla.
The Italian team aims to achieve their fourth title in the competition and their first European title since 2010.