Nolan took advantage of a penalty on Edmonton's Tom Gilbert, finishing off a three-way passing play and beating goalie Devan Dubnyk with 7:18 left in the first period.
The Oilers' Jeff Petry got caught too far up ice on a power play late in the second period as Duco raced the other way on a 2-on-1 and knocked his own rebound through goalie Yann Danis' lets with 53 seconds left.
With Edmonton still on the power play, Eberle cut the deficit to 2-1 when he took a pass from Ryan Nugent-Hopkins and scored his second goal of the preseason.
The Oilers had a chance to tie it on a power play late in the third period, but Ryan Smyth was unable to bat a hard pass into a wide-open net.
Copyright by STATS LLC and The Associated Press
Arena: Rexall Place Location: Edmonton, Alberta
Referees: Tom Kowal, Francis Charron Linesmen: Jay Sharrers, Brian Mach
Attendance: 15,724 (93.4% full)
Team Stat Comparison
Power Play Goals
Power Play Opportunities
Shots on Goal
Owen Nolan (1)
(Power Play) Assists: Mark Mancari, Andrew Ebbett
Mike Duco (1)
(Shorthanded) Assist: Alexander Sulzer
Jordan Eberle (1)
(Power Play) Assists: Ryan Nugent-Hopkins, Tom Gilbert