"Barnabas Varga was released from the hospital in Stuttgart this morning and is currently recovering in his home in Hungary," the Hungarian Football Federation said on X, formerly Twitter.
Varga, a 29-year-old Ferencvaros player, was involved in a mid-air clash as Scotland goalkeeper Angus Gunn came to collect a cross.
Hungary's players quickly signalled he was in trouble, with captain Dominik Szoboszlai helping to bring on the stretcher as others gathered round their stricken team-mate.
As medics treated Varga, team-mates held up sheets around him before he was carried off the pitch.
Kevin Csoboth grabbed the winning goal in the 10th minute of stoppage time that gives Hungary a chance of still reaching the last 16 as one of the best third-placed teams, with their fate to be decided by the results of Wednesday's games.
After the match, Varga's team-mates held up his shirt as they posed for a group shot.
