They can work, though I'm always reluctant to suggest using them, unless you have one that you can spare without worry of ruining the oven (offgassing from components/PCB/flux), the other problem is ovens can be a lot more variable in temperature than you'd think, and in this scenario where it may even be the chips showing their age, subjecting them to very high temperatures isn't recommended.

Honestly when I bought a small £20 heatgun (smaller than the type you'd use to strip paint), I was kicking myself for not having bought one sooner, they make surface mounted components an absolute breeze Vs using a soldering iron.

The one exception for using ovens is if you're having to do an intricate board with hundreds of components, then I'd suggest buying a small/medium toaster over, and an oven thermometer for more accurate readings.