Gayle, who plays for the Melbourne Renegades in the T20 competition, was speaking to Channel 10 presenter Mel McLaughlin after he made a quickfire 41 runs of 15 balls in his team's victory against Tasmania.
"I wanted to come and have an interview with you as well, that's the reason why I'm here... To see your eyes for the first time," Gayle said.
"Hopefully we win this game and we can have a drink after, don't blush baby," he added.
Cricketers such as former England captain Andrew Flintoff slammed Gayle for his act that was condemned by others as well on social media.
After the incident, Big Bash League chief executive Anthony Everard released a statement on Twitter.
"I heard Chris' comments and they're disrespectful and simply inappropriate. We'll certainly be talking to him and the Renegades about it. This league is all about its appeal to kids, families and females. There's just no place in the BBL - or, for that matter, cricket anywhere - for that sort of behaviour."
