From what can be traced, that sentence does not seem to have a “canonical” author: everything indicates it is a modern, anonymous variation of a very common theme in forums and articles, not a famous quote with a clear origin in a specific book or person. morgancreekcap
What can actually be traced
In fairly large collections of quotes about war, strategy games, and chess/Go, there is no phrase with that wording (“Chess is a medieval game about medieval warfare, whereas Go is an ancient game about modern warfare”). It also does not appear in popular articles on the history or philosophy of Go or chess, which do talk about the link between both games and war/strategy, but without that specific formulation. endgame
Searching for the literal English sentence only turns up scattered mentions in forums and blogs, with no attribution at all (i.e., someone says it right there and others repeat it, but nobody cites an earlier serious source). That absence from books, mainstream press, or signed essays is exactly what usually reveals an “internet quote” with no known parent. endgame
What idea it actually comes from
The sentence that is very widespread is something like “Chess is a battle, Go is a war”, which is even cited as “an old saying” in modern texts. That battle/war contrast is the conceptual basis of many comparisons between the two games. reddit
In parallel, it is very common to describe chess as an abstraction of medieval warfare or of European feudal structure (king, nobles, knights, peasants, etc.). And it is also common to use Go as a metaphor for contemporary strategies of power, irregular warfare, or long‑term geopolitics (China/U.S., etc.), precisely because it focuses on diffuse territorial control and the gradual accumulation of advantage. dailyworkerplacement
Your quote fuses those two metaphorical lines:
The most likely explanation is that someone expanded “Chess is a battle, Go is a war” into a more striking wording (“medieval game / modern warfare”) in some forum or article, and from there it spread without a clear author.
In short, everything points to it being a clever but anonymous paraphrase, based on very widespread tropes about chess and Go, rather than a quote that can be traced back to a famous author or a specific work.