Make it obvious by providing a signifier for what can be done (or should be done).
If it's important for users to correct this information than it's good to be a bit more obvious.
If you have tested it just looking like a link, and people are not clicking/interacting, you can be more obvious that they are expected to correct the output they are seeing on your website.
I'm not sure about the details of your use case, but you can provide:
- visible persistent signifiers (a shape around the text)
- a fairly well understood icon (edit pencil)
- hover states that change the tint of the shape and/or text
- tooltip that tells the user what they can do
You could treat these as chips, found in material design, with a little difference.
In the base material design, chips when clicked on or hovered offer more detail, but there's some Google products where chips can be edited in a simple manner.
Chips are usually either created or deleted (with a prominent 'X' to the right of the label), but you can use the Edit icon, to provide a hint of what they can do.

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