Perenara had to be helped from the field after collapsing on to the turf just a few minutes before the final whistle.
"TJ has ruptured his Achilles," coach Ian Foster Foster told the New Zealand Herald on Sunday.
"It’s the 78th minute, and he’s innocuously gone to chase a kick, and it’s gone bang, which hurts."
The World Cup begins in France on September 8.