A report on soccer website goal.com said Krishna has expressed interest in leaving the A-League for a contract in China or Japan as soon as next month.
The 31-year-old striker described the report as "total rubbish" and that he wants to continue at the Kiwi club beyond this season.
He scored a club-record 34th goal in his 101st appearance when the Phoenix drew 1-1 at home to leaders Perth Glory on Sunday.
Moving ahead of former teammate Paul Ifill's record was a special feeling but he says he has plenty more scoring in him for a club he believes are on the rise.