No, a Tinder user that you have matched with cannot see that you have Tinder Gold, even if they don't have Tinder Gold themselves. The information about your Tinder Gold subscription is not visible to other users on the app.

According to the search results, here is some information about Tinder Gold and its visibility to other users:

1. Tinder Gold Features: Tinder Gold offers various features such as unlimited likes, one free Boost per month, the Passport feature, five free Super Likes per day, the ability to rewind swipes, the ability to hide your age and distance, the ability to use 10 Top Picks per day, and the "Likes You" feature [1].

2. Visibility of Tinder Gold: The little gold heart that appears on your own version of the app when you swipe right on someone on the "Likes You" page is not visible to the other person [1]. Therefore, other users cannot directly see that you have Tinder Gold.

3. Indirect Means: While the direct visibility of Tinder Gold is limited to the user who has the subscription, it is possible for someone to figure out that you have Tinder Gold (or at least Tinder Plus) by indirect means. For example, if you use the Passport feature and match with someone in another city, they may realize that you have Tinder Gold or Tinder Plus [1].

In conclusion, other Tinder users cannot see that you have Tinder Gold, even if they don't have Tinder Gold themselves. However, it is important to be cautious about using certain features of Tinder Gold, as it may indirectly reveal that you have a premium subscription.

Learn more:

1. Does Tinder Gold Show On Your Profile? - Tech Junkie
2. Tinder Gold ("See Who Likes You") WORTH IT for Guys? // Review/FAQ
3. Can People See if You Have Tinder Gold?