Derek was observing a specimen using a microscope he observed a single cell on the slide he noticed it was round in shape with nucleus in the middle of the cell and a structure that the cell could use to move around Derek concluded he was looking at an animal cell his lab Parter James disagreed and insisted that they were observing a unicellular protist who is correct and which piece of evidence supports the correct claim

Derek the cell has a nucleus and cell membrane.
James; the cell was isolated by itself on the side.
Derek; the cell is round in shape
James; the cell has a structure that allows it to mov independently 

James is correct. The piece of evidence that supports James' claim is that the cell had a structure that allows it to move independently. This suggests that it is a unicellular protist, rather than an animal cell.