Note: Tokens can be kept on any ethereum address or compatible chains on all wallets, except exchanges where token is not listed.
|Never send token to any exchange until token is not listed on it
Yes this is common sense actually. You can't store a token on suhc exchange where they aren't supported. But in the case of L1 like some of most chain, as lonh the token is deployed already you can just get the contract address and import it on your wallet regardless of chain it is supported then you can already store it there. Cex also store it as long as they have that deposit for that particular tokens.