The Giallorossi will play Sevilla in a one-off game in the last-16 on August 6, with the match taking place in Duisburg.
Wolves, Olympiakos and Manchester United are among the teams Roma could face if they hope to reach the final.
"In this moment we know we just have strong teams left," he said.
"I think the most important thing now is to think about Sevilla. We know Sevilla is one of the strongest teams in Europe, they have won this competition a lot of times, and I don’t want to think beyond the game against Sevilla. We should just think about Sevilla in this moment."
He added: "Like I said, the most important thing now is Sevilla. I don’t want to think too much about the other teams. But, generally, I can say that both those teams [Wolves and Olympiakos] have Portuguese coaches, both teams have a lot of Portuguese players and of course it is natural that I know these coaches better than some of the others.
"But this is another moment, they are now with other clubs, but I know both of those teams are very strong."
On the special format for the competition, which will see all ties take place over one leg (and at a neutral venue), Fonseca suggested it will sharpen the minds of everyone competing.
"Honestly it is the first time we will play with just one game in each tie," he noted.
"It is a new situation for all the teams. Honestly I don’t want to think too much about the competition, I just want to think about the game against Sevilla.
"It will be one game – either you stay or you leave the competition – and we should be focused just on this game."
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