Trailing 2-0, the Kings scored three goals in the third period to make things interesting, but the Coyotes matched them with three goals of their own.
"Good character by the guys," Perlini said. "Every time they scored we scored right after, so it's all a credit to the guys and working hard and battling and not wanting to give in ... It was a good effort by the guys. Hopefully we can keep it going."
Perlini gave Arizona a 1-0 lead with a power-play goal at 4:51 of the first period.
"It's always nice to get one early, it kind of settles you down a bit," Perlini said. "We knew it's tough coming off a break. You don't have your legs or whatever, so we tried to capitalize early and did."
Perlini scored his second goal at even strength at 9:55 of the third period, just 1:17 after Tanner Pearson had scored to pull the Kings to within 2-1.
Perlini has notched 10 goals in 31 games with the Coyotes this season, his first in the NHL. He also scored 14 goals in 17 American Hockey League games before being recalled in December. That's 24 goals in 48 games as a pro.