World amateur bronze medallist Krishan originally won the bout against Errol Spence 13-11 but, after reviewing video footage, the International Boxing Association (AIBA) declared the American the winner.
"We have submitted a preliminary complaint in writing to the CAS," the Indian team's acting chef de mission PKM Raja said in a statement.
"A counter appeal submitted by India to AIBA was not accepted by them on the grounds that their jury had already reviewed the bout and given their decision.
"India's stance was that the fouls committed by Errol Spence in round two and three were not considered by AIBA."
The AIBA overturned the original result after their competition jury found Spence should have been awarded four additional points for fouls committed by the Indian.
India have been vocal against the judging in London and the country's light-welterweight boxer Manoj Kumar accused them of "cheating" after he lost Saturday night's bout against Briton Thomas Stalker.
The Indian team also protested against the controversial opening-round defeat suffered by light-heavyweight Sumit Sangwan against Brazilian Yamaguchi Falcao but AIBA rejected it.
Boxing's governing body dismissed two officials this week for wrongdoing.