There's no nonstop path for business class from Pittsburgh to Alicante, and honestly, that's fine — the routing options through London and Madrid are part of what makes this a rewarding itinerary to plan well. The most reliable connection runs via Philadelphia or Charlotte on American Airlines into London Heathrow, then onward to Alicante on British Airways, or alternatively through Madrid via Iberia's transatlantic network. American's own long-haul widebodies (777-200 or 787-9) on the US-to-Europe leg feature their Flagship Business seats with direct aisle access on most aircraft, while British Airways' short connector to Alicante is typically a narrowbody Euro Business configuration — comfortable but not the star of the trip. The real prize is booking the transatlantic segment on a partner with a strong hard product, then treating the Alicante leg as a quick, functional hop.
If you're routing through Madrid instead, Iberia's A330 or A350 business class cabins offer a solid lie-flat product with decent width, and Iberia's Madrid hub is arguably the smoother connection for Alicante given the frequency of short intra-Spain flights and Iberia's home-turf efficiency at Terminal 4S. My longstanding tip: build in at least 90 minutes in Madrid even though the connection often looks tight on paper, because immigration and security recheck for US-origin passengers can eat time unpredictably, especially in summer. Heathrow, by contrast, rewards travelers who use the dedicated flight connections route to avoid full UK border re-entry.
Seasonally, April, May, September, and October are the sweet spot — not just for weather on the Costa Blanca, but because these shoulder months see softer transatlantic business class demand out of the Northeast, which tends to loosen award and revenue fare availability on both American and Iberia. I've watched fares on this exact PIT–ALC corridor swing meaningfully within a matter of weeks during these windows, so rather than guessing, set up fare alerts and let automated tracking do the heavy lifting while you wait for the right moment to book.