Display screen or portion thereof with an animated graphical user interface

The design consists of the features of shape, ornament, pattern and configuration of the DISPLAY SCREEN WITH GRAPHICAL USER INTERFACE shown in the drawings. Elements shown in broken lines are not part of the design. The appearance of the DISPLAY SCREEN WITH GRAPHICAL USER INTERFACE transitions between the views shown in Figures 1-2. The process or period in which one image transitions to another forms no part of the claimed design. Figure 1 is a front view of a DISPLAY SCREEN WITH GRAPHICAL USER INTERFACE showing a first frame of a graphical user interface component according to the design; and Figure 2 is a front view thereof showing a second frame of the graphical user interface component according to the design.