Arnold doesn’t support .mov files for textures, but with C4DtoA you can use the Bitmap shader to load image sequences like seq_0000.tx, seq_0000.tx, seq_0000.tx, …

1. In the Bitmap Shader > Shader properties, select one of the files in the image sequence.
   
2. In the Animation sequence, manually enter the start and end frames in the Movie Start Frame and Movie End Frame text boxes
   
3. Click Calculate

Under the covers, C4DtoA doesn’t actually implement the Bitmap Shader. Instead, C4DtoA translates the Bitmap Shader to an Arnold Image shader