In the 2013–14 season, Proklova debuted on the Junior Grand Prix series. In her first JGP event in Košice, Slovakia, she won the silver medal with a total score 3.97 points less than gold medalist Karen Chen. Proklova then won gold in her next assignment in Ostrava, Czech Republic, finishing 15.59 points ahead of silver medalist and teammate Maria Sotskova. Proklova finished fifth at the Junior Grand Prix Final in Fukuoka, Japan. At the Russian Championships, she placed fourth in her senior debut and then won the bronze medal on the junior level. During the off-season, Proklova sustained a fracture in her leg in an on-ice fall.