The 46-year-old, twice on the winning side in the competition as a player, has yet to rule out being a player-captain next year.
Furyk admits that it is an "honour" to take on captaincy duties, as the United States attempt to defend the title they won at Hazeltine three months ago - their first success since 2008.
"I get chills thinking about all the events I've been lucky enough to take part in. To be sitting here as the 2018 captain is such an honour," he said.
"This is such an honour. I'm actually a little overwhelmed. It's no secret, it's been my favourite event my entire career. In my opinion the Ryder Cup embodies everything that is special about golf."
The 2018 Ryder Cup gets underway in the French capital on September 28, 2018.