The right to repair is a separate option for specific products. It does not promise a free repair for every item.
A statutory defect claim or the right to repair?
If the seller is responsible for a defect, start with your statutory rights for faulty goods. The new right to repair may be relevant outside that liability, for example after the claim period has expired or for certain problems caused by wear.
These are two different sets of rules with different obligations. Before agreeing to pay, check whether the problem should instead be resolved as a covered statutory claim.
The rules cover specific product groups
The list includes certain washing machines, dishwashers, refrigeration appliances, mobile phones and tablets. Whether a particular item is covered, and how long the obligation lasts, depends on the product rules.
See the current list and scope at Forbrug.dk: the right to repair.
Usually, start with the manufacturer
The separate repair obligation generally rests with the manufacturer. For manufacturers outside the EU, it may fall to a representative, importer or distributor under the rules. This is a different route from making a statutory claim against the seller.
You may have to pay for the repair
A reasonable price may be charged. A repair may also be refused if it is impossible. Ask about the price and terms before you decide.
There is no single ten-year spare-parts period for all goods. Check the rules for the specific product group.
Primary sources: the Danish Act on Repair of Goods and Forbrug.dk.