The team finished behind winners Specialized, who won the 34km race in 46 minutes and 31 seconds, and Orica-Greenedge who were in second but despite their performance are to disband for financial purposes.
"I think we wanted to show something as a team that we can do a really good result," said Pooley.
"It's a bit sad the team is coming to an end. This is the kind of thing team sponsors get into team sponsoring for and it's brilliant to be on a World Championships podium, which doesn't usually happen. But I think we made a point, which is good."
In the men's 54km event Team Sky finished ninth of the 32 teams as Omega Pharma Quickstep won in one hour, four minutes and 49 seconds with BMC in second and Orica in third.
The riders will now represent their countries for the remainder of the championships, with Britain's squad comprised of Mark Cavendish, Steve Cummings, Alex Dowsett, Chris Froome, Luke Rowe, Ian Stannard, Ben Swift, Jonathan Tiernan-Locke, Bradley Wiggins, Lizzie Armitstead, Katie Colclough, Nicole Cooke, Nikki Harris, Sharon Laws, Emma Pooley and Wendy Houvenaghel.