Not the comment youre looking for but i wouldnt cover that up. If you dont like the stain color could you just have it refinished? Unless Im misunderstanding your plan, it makes no sense to put engineered wood over solid wood.

Not solid wood. Those ugly 9x9 inch parquet with black mastic that has asbestos in them. Thank you for pointing that out as a confusing part of my question

You can put engineered hardwood over top of parquet flooring, but, my understanding is, only if you do the engineered hardwood as a floating floor with underlayment underneath it.

Adding a layer always creates problems with transitions to other rooms and if in the kitchen then issues with appliances, but all can be handled with a good installer.

Thanks for the replies so far! That is what we are trying to find out, every professional says that it can be done if done right. but I just don‘t know how common that is and don’t know anyone personally who has had it done for their floor

You probably have 9" x 9" laminated block parquet, which is basically an Oak plywood. If it's down solid, laying another engineered floor over it would probably be okay.

Thank you! apparently it’s common in NYC to do it that way from what i have learned