The former West Ham United player, 30, was speaking after offensive chants marred the weekend’s north London derby between Arsenal and Spurs.
The central midfielder, who has slotted in straight away at his new London club since his summer move from Upton Park, believes abusive songs do not belong in football and wants those who get involved in such chanting to be punished.
“It is probably the one sport that people can abuse other people and it seems half acceptable," Parker told reporters.
“It is so wrong it is a joke. Just because you play for an opposing team doesn't give people the right to abuse you.
“I didn't hear it at the weekend but I have seen some of the stuff that has been written. If that was the case, the people who were involved need to be dealt with.”
The former Chelsea and Newcastle United man, who started his career at Charlton Athletic, has become an important player for England boss Fabio Capello in the past several months and was once again selected in the Three Lions squad this week.
Another Tottenham player in line for a starting position for the national side in the crucial Euro 2012 qualifier against Montenegro is full-back Kyle Walker, who scored the winning goal for Spurs on Sunday at White Hart Lane.
Parker has been particularly impressed with the 21-year-old and thinks he is more than capable of proving himself at the top level.
“Since I have been at Tottenham, Kyle has really stood out,” said the midfielder.
“He is a fantastic player. He is young. He has bundles of energy and is very quick.
“He scored a very good goal at the weekend but his performance before that was really good.
“I am sure if he is called upon on Friday he will be more than ready to go.”
Parker has yet to play at a major international tournament for England since his debut nearly eight years ago for his country.
If the national side avoid defeat in their final game in Group G then they are guaranteed automatic qualification to Euro 2012.
He added: “It would be massive for me to qualify.
“It is a great honour for me to represent my country and I probably speak for everyone in the squad when I say it would be a proud moment if we do manage to qualify.
“I have always said how many good midfield players we have.
“It is the manager's decision and I am sure he will put a side out there he feels is best equipped to win on Friday."
Despite a draw being the minimum requirement for qualification, the Football Writers’ Association Footballer of the Year said the players will head out onto the pitch with every intention of collecting all three points against Montenegro.
“The fact we only need a point doesn't change our approach one bit,” he added.
“Whenever we play for England we want three points. I don't think Friday is any different.
“We are going there to win and qualify for the championships.”