Spence and Micky van de Ven both ignored Frank and coach Andreas Georgson at the end of Tottenham's home defeat to Chelsea.
Tuchel left Spence on the bench for Friday's World Cup qualifying win against Serbia and was asked about the defender's behaviour regarding Tottenham manager Frank.
"Yeah, I didn’t like it," said Tuchel, who was at the Tottenham Hotspur Stadium.
"Because the players know they are not only national players when they are the 10 days in camp, they are always national players and the standard of behaviour is always important."
Tuchel also stated he had spoken to Spence about the incident but did not consider leaving him out of the squad.
