The Whites started the game with a high tempo, not allowing the home side any restbite, which was a common theme throughout the 90 minutes.
James Aspinall was called into action in the first period, saving efforts from Gio McGregor and Rob Street to prevent the Eagles from scoring.
Wanderers grit and determination was rewarded, as a 20 pass move finished with Joe Muscatt calmly scoring from close range, as a low shot crept past Lucas Perri at the near post.
Ronan Darcy created a great cross into the area following the goal, with striker Connor Hall inches from latching onto it at the far post.
The midfield duo of Jack Earing and Harry Brockbank dominated the midfield, dictating play and producing countless attacking threats.
After the half time interval, Palace began to ramp up the pressure in search of an equaliser.
Levi Lumeka had two chances early on, that Aspinall was more than equal to as he saved both efforts from the Palace frontman.
Bolton's defensive efforts were enough to prevent Richard Shaw's men from taking anything from the game, with a victory for the Whites being the end result.
Wanderers XI: Aspinall, Hartshorne, Johnson, Zouma, Boon, Earing, Muscatt, Brockbank, Tanimowo, Hall, Darcy
Unused substitutes: Brown, Alexander, White, Rodriguez, Graham.