According to one source at
https://www.invasivespeciesinfo.gov/profile/curly-pondweed:
"Curlyleaf can be managed using mechanical methods, herbicides, and habitat manipulation. Since curlyleaf is generally gone by mid-July, management activities should be undertaken in spring or very early summer to have the maximum benefit.
Mechanical control includes raking, cutting or harvesting vegetation.
Raking and hand cutting generally remove the plants at the sediment surface, while harvesting generally removes the top five feet of the plants.
Mechanical methods control plants in the specific areas where they are causing a nuisance, and there is immediate relief from the nuisance. There is some evidence that early season cutting of curlyleaf at the sediment surface can prevent turion production (McComas and Stuckert, 1996). MnDNR Exotic Species Program staff monitored the results of this type of cutting in French Lake (Rice County) and Weaver Lake (Hennepin County). It appears that cutting is effective in removing curlyleaf in the cut areas, though annual cutting appears to be required."