Am I misunderstanding loop variable assignment or how to use print()?

print(get(x)[["Pr"]]) maybe. Do the get(), then do the subsetting.

It's often neater and more efficient to store your anova objects in a
list, though.

anything since it's still a set of character strings. ?Could you
elaborate a bit on what you mean by storing the anova objects as
lists?

Yes: not the names, but the anova objects themselves. Rather than
creating a bunch of individual objects, store them in a list when
created:

myanova <- list()
myanova[["ag.m2529.az"]] <- anova(whatever)
myanova[["ag.m2529.can"]] <- anova(whatever)
...

Then you can quite elegantly use lapply() across all of the anovas at once,
and don't have so many objects in your workspace.