In Queen Link, there are several ways you can acquire free coins. These methods include:

- Opening the Area Chest: When you unlock and open an Area Chest, you can obtain free coins as a reward. These chests become available as you progress through the game.

- Completing Bonus Levels: By successfully completing bonus levels, you can earn free coins as a bonus reward. 

- Winning Normal, Hard, and Super Hard Levels: Whenever you win normal, hard, or super hard levels in the game, you are rewarded with free coins. The amount of coins received may vary depending on the difficulty level of the level you win.

- Remaining Moves at the End of a Winning Level: If you have any remaining moves after successfully completing a level, you will be rewarded with free coins. The number of coins received corresponds to the number of moves remaining.

- Events: Participating in various events which often provides opportunities to earn additional coins by completing specific tasks or objectives.

By taking advantage of these different methods, you can accumulate free coins to enhance your gameplay experience in Queen Link.