If you have an animated sprite, it will play at the designed frame rate, what ever the object using the sprite is doing (moving or not).
Do yo use animated sprites ?
A lot of youtube tutorials on this.
In this section you will be able to download free game assets for arcade, strategy, platformers, RPGs, and many other species. Here you can find graphics for your 2D games development: gui, tilesets, icons, sprites.
look for "animated sprites", "pixel art" on google.