The typhoon (or eurofighter) is the only aircraft to date that can pull and sustain 9Gs constantly without the pilot dying!
So with the right pilot it should be the best!
Only the latest Mig stands any chance of tackling an F22. The latest F22 is stealthy, fast, and can lock on and fire missiles from farther away than most aircraft can even realize it is being targeted. The Saab wouldn't know what hit it.
Considering the fact that the Gripen is a 4.5 generation aircraft that came out in 1987, probably not. The F-22 is a 5th generation fighter aircraft. The Gripen is comparable to the F/A-18E Superhornet.