Boise's modest regional airport was never built with Lyon in mind, so every itinerary in business class from Boise to Lyon routes through a major hub, and the choice of connection matters more than most travelers realize. There is no nonstop option here—the honest answer to "how do you fly business class from Boise to Lyon" is a domestic hop into a transatlantic gateway, followed by a European connection into Lyon-Saint Exupéry. Delta typically funnels passengers through Minneapolis or Atlanta before crossing to Paris-CDG on its A330 or A350 with Delta One suites, then a short Air France hop down to Lyon. United tends to route via Denver or Chicago into Newark or Washington Dulles, connecting onward through its Polaris cabin. Air France itself offers the cleanest single-carrier experience if you can position through Salt Lake City or Seattle onto a transatlantic partner, landing at CDG's Terminal 2E before the final leg south.
Having flown this corridor repeatedly, my strong preference is Delta One via Paris—the A350's suite with sliding door offers genuine privacy for the long Atlantic crossing, and Air France's regional jets down to Lyon are quick and painless if you build in at least 90 minutes at CDG for the terminal transfer, since immigration and the shuttle between terminals eat time you don't expect. United's Polaris seats are competitive on the 787 and 777 fleets, but Newark's congestion in summer months can turn a tight connection into a stressful sprint—avoid anything under two hours there.
Seasonally, January through March and again in October and November are when fares soften considerably, as Lyon's business travel and Beaujolais tourism seasons bookend the summer crush. My insider tip: search Delta and Air France availability using Lyon as the destination but price Paris and Geneva as alternate arrival points—sometimes repositioning yourself by train from CDG unlocks meaningfully better award or cash fares than booking straight through. Given how much these fares swing across carriers and hubs, setting up automated price tracking on this specific routing is the smartest move before committing to a booking.