I will be installing new sod and was wondering if it is wise to place new sod directly under my dryer exhaust vent.

It may really like the heat and humidity, or it may hate it, dependent on your area. I'd go ahead and plant away and see what happens (relatively small area). If the grass is reluctant to grow there, try something else or perhaps put some decorative rock under the vent. Experiment. And welcome to NGA! Hope you enjoy the site.

You can always install a baffle on the sidewall under the vent to deflect the heat too.

I went out to look at what we did..we have one inch smooth rock there are a few weeds growing on top..did not stop them!

The suggested baffleb I think, would be the best solution. One that vents to the sides would work best.