The recent advancements in the cognitive capabilities of generative artificial intelligence (Gen AI) agents have enabled them to transcend their role of merely a tool and instead act as a team member, capable of collaborating with human agents to accomplish complex tasks like creating images, writing codes and developing blogs. However, our understanding of human agents' cognitive challenges while collaborating with Gen AI agents is limited. The present research investigates language-specific challenges that human agents face while interacting with Gen AI agents. In line with the linguistic perspective, our initial analysis indicates the emergence of three key language-specific challenges, namely syntactic challenge, semantic challenge, and pragmatic challenge. We expect the findings of this study will provide valuable insights into the emerging phenomenon of collaboration between human and Gen AI agents.