The 30-year-old striker, who is revered by many Italians as the country's best footballer, was stung when Ferguson forgot to name him as one of the players his side would need to watch out for at Rome's Olympic Stadium on Wednesday.
"Ferguson, you will learn who Totti is. He will see personally. I hope to make him remember my name," Totti told Italian satellite broadcaster SKY.
Before this season, Roma had never reached the knockout phase of the Champions League, but they pulled off a surprise 2-0 win over Olympique Lyon in the last round to set up the clash with the Premier League leaders.
"We are coming into the match in the right condition at the best possible moment, and we will try to reach another important objective," continued Totti, who is the leading scorer in Serie A this season.
"To have got to this point after so many years is a great achievement, but we don't want to stop here because there are even bigger satisfactions further on in the competition."
Totti signed off by saying he would never consider leaving Roma to play in England.
"I've never liked English football, even if there are some great players there. I don't like England either because the weather is gloomy," he said.
