Funds from a cold wallet need to either be imported or swept (for cybersecurity reasons sweeping is always preferred over importing) into most any hot or warm wallet to then sent to another cold wallet address synthesized from private keys that are usually in either the Wallet Import Format (WIF) or in BIP 38 standard format (is AES encrypted and starts with the letters 6P). Wallet imports or sweeps usually take WIF or BIP 38 input formats that have associated input error checking versus raw hexadecimal that a prone to human input errors like Ethereum.
Electrum is not technically a cold wallet unless the Electrum BIP 39 seed words have never been loaded into an Electrum warm wallet. An Electrum wallet is warm only if it uses a hardware wallet such as a Trezor, Ledger or Keepkey token generators that have been loaded with BIP 39 seed words. Otherwise, the Electrum wallet is a hot wallet.