Both have been invited to attend the Jays' spring training camp.
Ohka, 37, is trying to make a return to the major leagues as a knuckleballer. At camp with Toronto, he will be able to compare notes with knuckleballer R.A. Dickey.
He made 10 starts for the Blue Jays in 2007 in a 10-year major-league career that includes stints with Montreal, Boston, Washington, Milwaukee and Cleveland.
Ohka's career record from 1999 to 2009 is 51-68 with a 4.26 ERA. He has pitched in Japan since 2010.
Goedert, 28, spent last season for the Pirates Class-AAA affiliate in Indianapolis where he hit .241 with 32 doubles, 11 home runs and 62 RBI in 130 games. He primarily played third base.
In eight minor league seasons, Goedert has a .271 average with 113 home runs and 482 RBI in 825 games.