I have read a few articles about the game between Stockfish and AlphaZero. But is there a place where anyone can play against AlphaZero?
As already explained by other answers, AlphaZero itself is not publicly available.
The community has created Leela Chess Zero, a chess engine that started by using the same basic concepts as AlphaZero, but has since seen many additional improvements. It's probably stronger than AlphaZero ever was. Their site has a page on how to play against it, either download it or play against one of the lichess bots.
As a side note, stockfish has also been improving steadily (mainly with the introduction of NNUE), so it should now also be able to beat the original AlphaZero version again.
According to this website, AlphaZero was one of the strongest chess engine and defeated Stockfish (28 victories, 72 draws, and no losses). It runs on Google's supercomputer and is developed by DeepMind. There is no website which currently supports this type of chess engine. As discussed on the answer above, you'll have to get special permission from DeepMind to play against it. So, the answer is no. Read the article that I've linked on the top of this post for more information about its history, development, and impact in the chess world.