The 18-year old Scottish striker qualifies to play for T&T through his grandmother and it is believed the Caribbean nation have enquired about his services with McKenzie reportedly considering switching allegiances.
"There is an interest from Trinidad and Tobago," his agent Gordon Reid confirmed to Sky Sports.
"But we must stress Rory has not accepted or even taken the matter further.
"It is flattering, of course, but at the moment he is concentrating on his Kilmarnock future.
"That is not to say he will not look at it in the future, but he is happy with the situation at the moment."