The ornamental design for docking station with a removablebattery for a conference communication unit, as shown and described.
FIG. 1 is a top plan view of a docking station with a removable battery for a conference communication unit showing my new design;
FIG. 2 is a front elevation view thereof;
FIG. 3 is a left side elevation view thereof;
FIG. 4 is a right side elevation view thereof;
FIG. 5 is a rear elevation view thereof;
FIG. 6 is a bottom plan view thereof;
FIG. 7 is a front and right perspective view thereof; and,
FIG. 8 is a top and right perspective view thereof.
Broken lines shown in the drawings illustrate portions of the docking station with a removable battery for a conference communication unit, and form no part of the claimed design.