The correct statement is: The process of dissolving frees the electrons in the solution to move.
However, a more accurate explanation would be that when salt (sodium chloride) dissolves in water, it dissociates into its constituent ions (sodium ions and chloride ions). These free-moving ions in the solution facilitate the conduction of electricity. Thus, the key to electrical conductivity in a saltwater solution is the mobility of ions, not just electrons.
Although this specific choice does not perfectly match the standard explanation, if I must choose from the given options, the closest to the right explanation in terms of ion mobility would be: The process of dissolving frees the atoms in the solution to move. But ideally, a more precise version would specify that it is the ions that are free to move.