The short answer
A cross-chain transfer moves an asset or its value from a source blockchain to a destination blockchain. The networks maintain separate state, so an intermediary mechanism is required to coordinate the transfer.

A beginner-friendly explanation of moving crypto value from one blockchain network to another.
A cross-chain transfer moves an asset or its value from a source blockchain to a destination blockchain. The networks maintain separate state, so an intermediary mechanism is required to coordinate the transfer.
The route can use a bridge, liquidity provider, swap, or several services. What the user sees is usually a sequence of transactions that results in an asset arriving on the destination network.
Fees and timing depend on both networks and the route. Confirmations, gas prices, liquidity and provider availability can all affect execution.
Before sending, confirm the source and destination networks, exact token, amount, recipient and expected output. These checks prevent many avoidable cross-chain errors.