Cells such as macrophages can process foreign antigens and attach them to their cells surface in order to assist in activation of t cells. what is the name for cells that have this function?

Antigen-presenting cells.

Explanation:

Antigen-presenting cells or APC also known as accessory cells, they are defined as the cells which shows antigen complex with MHC on their surface, and this process of APC is called as a antigen presentation.

T-cells may help to recognize these complexes with the help of their T-cells receptors. Antigen presenting cells process antigens, and help to present them to T-cells. APC are basically two types:

1) Professional.

2) Non-professional.