Kohli termed such reports circulating in the media as "baffling" and "ridiculous" as he reassured the team was gelled together ahead of the West Indies tour.
The news further gained traction in the wake of Sharma recently unfollowing Kohli and the skipper's wife Anushka Sharma on Instagram, leading to insinuations of hostility amongst the two.
Kohli, however, denied the speculation and claimed to be offended by these suggestions before his team departed for the tour of West Indies due to commence on August 3.
"In my opinion it's baffling to be honest. Ridiculous to read some stuff that comes out," the number one ranked batsman said in Mumbai.
"Here we are feeding off lies, we are overlooking facts, turning a blind eye to all the good things that have happened. And creating fantasies and scenarios in our head and we want to accept this is the truth."
"I have seen this for too long now. It's bringing personal lives into the picture. It is disrespectful after a moment."
Sharma capped off a splendid tournament with the bat as the World Cup's highest run-scorer and was instrumental in leading India to a first-place finish by the conclusion of the league phase.
Kohli's prolific run saw him rack up five half-centuries across nine innings in the 50-over showpiece event, though he failed to register a single century.
Stories of Kohli and Sharma playing politics in the dressing room during the World Cup in England and Wales made rounds, with some suggesting the appointment of different captains for the three formats.
"I have played the game for 11 years, Rohit's played for 10 years, it's bizarre that you know... this from the outside when the changeroom environment is so good," said Kohli.
"Please come and see for yourself, how to talk to a young Kuldeep Yadav or talk with respect to a senior like MS Dhoni. We can't show you a video.
"It baffles you as a leader, as a coach, and as a team when lies are being floated around. And they are made to look believable. We have had no issues."
The Board of Control for Cricket in India (BCCI) recently opened the window for applications for the team's coaching staff roles.
Amidst the uncertainty surrounding Ravi Shastri's future as India's coach, Kohli endorsed the 57-year-old for the sought after job.
"With Ravi... all of us have a great camaraderie. Everyone in the team shares mutual respect and we have done really well as a group," said Kohli.
"We definitely will be very happy if he is continuing as coach."
Kohli said his side were prepared to take on the West Indies and expressed anticipation for the two-match Test series which will serve as India's first assignment as part of the World Test Championship.
The Championship was welcomed by Kohli as a positive step to sustain the popularity of the five-day format and increase its viewership.