It sounds like you are referring to the pull-up resistor described in the “Button or switch” heading in the “Attaching Servos and Peripherals” section of the Maestro user’s guide. This resistor is used to pull the voltage on the signal pin high when the button is disconnected, and when the button is pressed, it can safely connect the signal to ground. The servo should not be in parallel to the switch since the only common node they should share is the ground connection (e.g. the servo should be powered from a separate power supply and on a different Maestro channel). Please note that the Maestro channel that the switch is connected to should be configured as an “Input” in the “Channel Settings” tab of the Maestro Control Center. The value of the resistor can be anywhere from 1k to 100k; we typically use 10k.
If you have concerns about how you are connecting your switch, you can post a diagram or pictures of your setup, and I would be happy to take a look.