Fibrous roots

The area we have just cleared of Laurel, dead Laburnum, dead Hawthorn and Holly trees has a thick layer of fibrous roots across it. Should I remove them? Not sure to what they belong. There is still a large Oak tree in there.
The area late this afternoon.

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Maybe think about making a woodland garden there so those roots stay healthy and don't get compacted or damaged.
I can also recommend the heavy duty fencing pins (from Screwix, about 4 ft high) to make the bins with. They are much easier to hit into the ground than wooden stakes and don't rot. It's also easy to fix the wire netting to them.
One bed ended up a complete mass of fibrous roots.
Walnut tree put on over 2m of growth....