For his junior year, Hogosta played with HC Tunabro in his home country of Sweden. He played there from the 1971-72 season until the 1973-74 season in a total of 31 games. While in that time of playing for a junior club, he was elected to the Swedish National Team for the European Junior Championships for the 1972 and 1973 tournaments, where Sweden would capture silver in both with Hogosta getting top goaltender honors in the 1973 tournament.
In the 1974-75 season until the 1976-77 season, Hogosta played for Leksands IF in the Swedish League for 90 games, helping them boost up to the elite level of the Swedish ladder. Also in that time, Hogosta played in three World European Championships for Sweden, winning a silver and two bronze medals while going 12-5-0 combined in all three tournaments; being named top goaltender in the 1977 tournament and on the All-Star Team of that tournament, as well. Hogosta along with Hardy Astrom participated in the first Canada Cup tournament, where he would win one game in one appearance.
In the summer of 1977, Hogosta was signed by the New York Islanders and would make the team out of training camp. On November 1st, 1977-- Hogosta became the first European born and European trained goalie to play in the NHL, though he only played for nine minutes. Hogosta spent the bulk of the 1977-78 season in the AHL with the Hershey Bears, where he would play 23 games with a 6-13-2 record. Hogosta also spent time that season with the Central League's Fort Worth Texans, going 3-2-0 in five games. The 1978-79 season had Hogosta back with Fort Worth, playing in 61 games and going 25-29-4 in those games, then 1-2 in three playoff games.
In August 1979, Hogosta was traded to the Quebec Nordiques for Richard Brodeur. Hogosta played with the Nordiques for 21 games in the 1979-80 season going 5-12-3, while playing in 17 games with the Syracuse Firebirds and finishing with a 4-9-4 record there.
After that season, Hogosta went back to Sweden to play with Vastra Frolunda HC from the 1980-81 season until the 1983-84 season for a total of 116 games before he would retire at the end of 1984. Hogosta would make a short comeback in the 1986-87 season with Leksands IF for four games before retiring for good.
He may not be notable for much, but Hogosta was the man who paved the way for the European goaltenders of today. He didn't stay around for North America for long, but what he did in Sweden helped him cement his legacy in his home country by playing for them many times over and putting on a great display each time.