Will Parked Domain affect Domain Mapping?

I am setting up a new site and planning to park several domains on the same hosting account.

The domains will be parked there so that email addressed to those domains will be processed and forwarded to the correct recipient.

Will any adjustments have to be made in the use of the domain mapping plugin in this situation? Are there any conflicts that will arise and that I need to handle?

Thanks and Cheerios,
Kirk