A clarification about the meaning of "Let $\mathbb{Z}$ be *the* trivial $G$-module".

Question

I have a question regarding a definition/lemma in the book from Charles A. Weibel, "An introduction to Homological Algebra". At page 161, there is a claim starting as follows:

Let $A$ be any $G$-module, and let $\mathbb{Z}$ the trivial $G$-module...

Question: how does exactly mean "let $\mathbb{Z}$ the trivial $G$-module"? Have I to read it as "...and let's consider the ordinary ring $\mathbb{Z}$ as a $G$-module with the trivial action", or as something else that I am missing?

Thanks for the useful clarification.