Green Party MP Keith Locke said he would be "very disappointed'' if Mr McCully had granted a visa to a member of the military just after his resignation.
"I think we shouldn't accept that dodge and it isn't consistent with Murray McCully's previous strong stand against any military person coming here,'' he told NZPA.
"How can we credibly hold the line in terms of sanctions if we allow a person to one day be a member of the military, the next day not be, and be a member of the World Cup team?''
Mr Locke said when the player returned to Fiji he could perhaps rejoin the military and get a promotion if he did well.
"Once you've opened the floodgates, as it were, by allowing one person to use this Fijian sidestep, then others could do the same thing.''
- NZPA