Strasbourg's modest airport, tucked against the Franco-German border, has no long-haul service of its own, which means every path in business class from Chicago to Strasbourg runs through a major European gateway before a short connecting hop. There is no nonstop option on this city pair, and that's simply a geographic reality worth accepting up front rather than fighting. The most sensible routings pair Air France through Paris CDG, Lufthansa through Frankfurt or Munich, and British Airways through London Heathrow, with the onward leg to SXB flown on a regional jet — typically Air France's own domestic network or a partner carrier. Of the three, Air France's Paris connection is the most logical for pure convenience, since Strasbourg sits within their strong domestic mesh and CDG's Terminal 2E handles long-haul arrivals with reasonably short connection times if you've checked in with Business Priority.
For the transatlantic segment itself, Lufthansa's newer Allegris business class — where available on the Chicago–Frankfurt or Chicago–Munich routing — offers the door-equipped suites and adjustable panel privacy that have quietly become the best hard product among these three carriers, though not every ORD frame has been retrofitted yet, so it pays to check the specific aircraft before booking. British Airways flies Club Suite on select 777 and A350 configurations out of ORD, giving direct aisle access and a proper sliding door, while Air France's La Première-adjacent Business cabin, on their 777s and A350s, still leans on a more traditional herringbone layout that's comfortable but less private. My own preference after years on this corridor is the Lufthansa-Munich connection in shoulder season, when fog delays at Frankfurt are less likely to cascade into a missed Strasbourg puddle-jumper — Munich's shorter minimum connection times make for a calmer transfer.
January through March and October into November consistently bring softer business fares on all three carriers, as leisure demand dips and Alsace's Christmas market rush hasn't yet spiked November pricing near the very end of the month. Given how fare classes fluctuate weekly on connecting itineraries like this, setting up automated price tracking for the ORD–SXB corridor is the smartest way to catch a business class fare drop before award space or promotional inventory disappears.