Thomas Tuchel explained in the interview to the British sports media at the end of the all-sherry match with Antonio Conte.
The German coach said all he had asked the Italian technician was to look him in the eye.
"I told him that when the hands are shaken, you should see the other one in the eye. I know it's not normal, but today a lot of things weren't normal, just like it wasn't the two goals we suffered," he said.
The two coaches collided at the end of the meeting as they gave each other their hand.
Sherri closed with the intervention of the respective relays to avoid the physical clash between them, while the meeting judge was given a red card.
The match between Chelsea and Tottenham ended in a 2-2 draw. Tuchel had complaints about refereeing, claiming Spurs' first goal was offside position and the second a foul inside the area against Kai Havertz.