Who can place the mats on top of the sukkah?

The mats should be placed on the sukkah by a Jew l’sheim mitzvah (for the purpose of the mitzvah). If it is necessary to have a non-Jew assist with the laying of the mats, a Yisroel should raise the mats slightly and lay them back down9. This may be done with a pole.
9. See Mishna Berurah 636:8