"This is one of the best teams in the history of Indian football, if not the best," he told reporters after India beat Macau 4-1 in a qualifier match at Sree Kanteerava Stadium here yesterday night.
India had thrashed Macau 4-1 in a Group A encounter which helped India to qualify for the Asian Cup for the fourth time.
In 1964, India participated in the tournament for the first time and ended runners up.
In 1984 and 2011, they crashed out in the group stage.
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"I thank my staff ... everybody has been magnificent. It is a huge thing for Indian football. It is not only an honour for the team, but the whole country. Right from clubs, coaches everyone has played their part to see the success," he said.
"The team had some ups and downs, though," he added.
Asked whether he would be fielding the bench strength in the remaining group stage matches, Constantine said he cannot say anything for now, but wants India to finish first in the points-table.
Replying to a query, Constantine said Balwant Singh was a good foil for Chhetri who scored the goal in second half with his help.
"Balwant did what he was asked to do. After he was introduced, Sunil got the room to play with the ball and everyone knows, if he gets the room, he can be really dangerous," he said.