This is reflected in the brand’s FAQ section:

“No. Giorgio Armani does not use animals to test its products, and does not have animal testing conducted by anyone else to support our product safety review. Instead, Giorgio Armani ensures product safety through L’Oréal’s research and development of state-of-the-art alternative methods to animal testing, including the use of reconstructed skin models. Others, completely independent of L’Oréal and outside the direction or control of L’Oréal, might do animal testing pursuant to their local requirements.“