It’s NOT possible to know if your eligible prior to redeeming.
The pop-up offering the deal appears after the Apple gift-card has been redeemed into your Apple Account.
There is no requirement to spend / use the redeemed amount; it just sits in your Apple Account until you utilise it.
Gift-card redemption amounts $5+ have worked (ref comments below re $5, myself and another user did $50).
Can cancel Apple TV without losing balance of Free period (cancellation pop-up confirms that).




It was $5 gift card for me that triggered the offer.