International experience means that the coaches have coached U.S. National Teams against international competition. Coaches with international experience are valuable in finding the right fit for the player and making recommendations to teams about players. Because there are no major pro volleyball leagues in the U.S., players must go overseas to play competitively after college. These international connections are certainly important to many recruits who dream of representing their country and getting paid in the pro leagues.
This is entirely irrelevant for USA college volleyball.
Hugh probably scouted/gave opinions on/helped put together national (training) teams for the USAV regardless if it was for his own players (here at Minnesota) or not.
No Minnesota player has gotten a spot on an international pro team roster over a player from any other major program simply because Hugh was the coach.
I don't know why it's so hard for you to understand and accept this.
Cook has led NE to 4 national championships in his 20+ years there. He has been coach of the year at least twice if I recall. He is in the Hall of Fame. He is a legend and recruits with a Nebraska are understandably attracted to NE for that reason. AND he's coached both men and women nationally so he has another feather in his cap.
Sheffield, however, is exactly what the Gophers will hope to achieve in a new hire. He had great success at mid major Dayton before coming to WI about a decade ago. He's done a great job with the WI program during that time. Their national championship was won largely on the backs of some very good 5th year players. Sheffield gets all of the credit for recruiting them initially.
Sheffield does not have international experience to my knowledge so it not the ONLY thing that determines recruiting success and championships. But it is another tool that can help a recruit choose to follow you.
The next MN coach is likely NOT going to be a big name from another Power 5 conference. I am sure Coyle and company will be looking at a number of things in this next hire. International experience will be ONE of them.
Tamas is an example of a P5 HC who would come here, has coached with Hugh, and I assume would get his stamp of approval.
Not sure if he qualifies under your "big name" label. I wouldn't think so.
Any reasonable "big name" already at a major PAC or Big Ten program is not going to leave, save for a very few programs in the nation like Nebraska. But winning ACC, SEC, Big 12, they definitely would leave for Minnesota save for the obvious outliers like Texas, Florida.
Not sure if Pitt coach is on radar or would leave. No idea. Or GT coach. Just throwing against the wall.
Doubt any of these have any kind of serious, magical "international experience", nor does it matter in the slightest. That's wild guessing with zero research though. My specialty