The Hungary midfielder has been outstanding for the Reds this season, with many regarding Szoboszlai as their best performer.
Rossi, however, is unhappy with the workload Szoboszlai is wearing and also revealed Reds manager Arne Slot doesn't want him playing during international week.
"Personally, I have never spoken to Slot, and I have never had any say in when and what decision he makes, when he will play Dominik as a full-back," Rossi said.
"But I would also expect him not to interfere in my work.
"It is not just me who decides this, I am not obliged to play anyone.
"If Dominik said he would like to rest, of course I would allow him. But we know that he is the captain of this national team, the national jersey is his priority.
"If we had to save his energy, whether it was for him or anyone else, he could do it.
"However, for us, the national team is the priority, now it is about playing good games."