Andreyev was writing 75 years after Poe, so it’s not exactly the same genre (although remember that Poe, while most famous for gothic horror, also wrote in pretty much any genre, including basically inventing the fictional detective). What they do share though is a finely honed sense of the macabre, and the ineffable nature of reality. If we’re picking influential American authors, then it’s fair to place Andreyev mid-way between Poe and Lovecraft, especially with stories like The Wall[1] or The Red Laugh.[2]
Having said that, I personally prefer the writing of Leonid Andreyev (described as Russia’s answer to Poe). Coincidentally, I’ve put together a short fiction compilation for him too: https://standardebooks.org/ebooks/leonid-andreyev/short-fict...