Nope, only Non-Airbus pilots do that. Since you fly your sidestick, you don't need your second hand anymore. You could put it on your knees, but there it doesn't help anything, hence you leave it there on the thrust levers.
This is another indication that the TAM's captain mindset was somewhat in "another aircraft". It might be justified in
some other aircraft not to touch a "broken" thrust reverser or to take your hand away from them. But as a genuine Airbus pilot you leave it there and realize that you should retard them.
btw Airbus just reissued the FCOMs for reverser fault, explaining that it's essential to retard. If the reverser fault comes on in flight, go to idle. If you execute an RTO, go to full reverse.
Dani