At the age of 12, Greschuk was catching for the Hubbard Hurricanes. At 15 he started pitching senior baseball.
At 16, at a Hubbard Sports Day, Greschuk pitched five innings with nine strikeouts in the first game. In the second game he pitched seven innings with 12 strikeouts.
In the third game he pitched 7 innings with 13 strike outs, with a total for the day of 19 innings and 34 strikeouts.
In 1963, at 20 years of age, playing for the Prince Albert Junior Lions, he pitched a one-hitter against Saskatoon Junior Acmes to win the Northern Saskatchewan Junior Playoffs, qualifying for the povincial playoffs.
A highlight for Greschuk was while playing for the Calgary Cascades of the Alberta Major Baseball League, when he struck out Lyle Moffat, playing for the White Sox. He also struck out Bill Fennessey, who had competed for Willie Mays’ position in the Major Baseball League. Greschuk also struck out another great baseball player of the time, Bobby Taylor.
Greschuk stated he could not further his baseball career because his arm was never the same after pitching 19 innings in one day when he was 16 years old. He then put his family life first.
Greschuk moved back to Yorkton from Calgary in 1975. In 2000, Al was instrumental in organizing a junior baseball team in Yorkton. As well, he organized the Yorkton Cardinals of the Western Major Baseball League. The Cardinals continue to play in that league.
Greschuk played twilite baseball for 50 and over, with Spy Hill, when they played in the 1996 World Twilite Tournament in Phoenix, Ariz.
Greschuk volunteers for all sports in Yorkton, and has provided uniforms and jackets for the Junior team and the WMBL Cardinals for 12 years.