John Osborne, 71, said he checked the house for broken windows and eventually found a large, ground-level window was broken in the couple's finished basement.
"There was glass all over the place," he told the Macomb Daily.
He said he approached a toppled artificial tree near the window and spotted "a big fuzzy thing" curled up next to it.
Osborne said the creature looked like a large fox.
"I got out of there fast," he said.
Police and animal control officers arrived at the home and relocated the coyote to the nearby Glacier Club golf course.
Osborne said he went back into the basement and was shocked to see a second coyote.
The animal control officers were summoned back to the home and released the second coyote in the same place.
The couple said the intruders left a big mess behind.
"They must have hit the [window] like an explosion. There was glass up the hallway, glass all over the place," John Osborn said.
Macomb County Chief Animal Control Officer Jeff Randazzo said the coyotes did not seem to be seriously injured.