Hentgen, who spent 14 years in the big leagues, is currently a special assistant to the organization. Last year, Hentgen was the club's bullpen coach, but stepped down at the end of the season because of personal reasons.
Major League Baseball Commissioner Bud Selig will announce all first-round picks before the club representatives from each team take over and officially announce the rest of the selections.
The Blue Jays possess five of the first 60 overall selections thanks in part to compensation for losing Frank Francisco, Jon Rauch and Jose Molina to free agency.
Hentgen has played an instrumental role in the Blue Jays' Minor League system in recent years. He spent one season as a roving pitching coach and this year has spent time evaluating talent with various affiliates within Toronto's organization.
The 43-year-old won a Cy Young with the Blue Jays in 1996. That season, he went 20-10 with a 3.22 ERA and 10 complete games while striking out 177 in 265 2/3 innings. He retired from baseball in 2004 after amassing an overall record of 131-112 with a 4.32 career ERA.
The annual First-Year Player Draft takes place this year from June 4-6, beginning with the first round and Comp Round A on Monday, June 4, at 7 p.m. ET. The first night of the event will be broadcast live on MLB Network and streamed live on MLB.com. Rounds 2-40 will also be streamed live on MLB.com on June 5-6.
MLB.com's coverage, sponsored by CenturyLink, will include Draft Central, the Top 100 Draft Prospects list, Draft Tracker, a live interactive application that includes a searchable database of every Draft-eligible player, and Draft Caster. You can also keep up to date by following @MLBDraft on Twitter. And get into the Draft conversation by tagging your tweets with #mlbdraft.