This looks like a Gray Tree Frog or Cope's Gray Tree Frog - they are identical in appearance. Despite the name, they can be gray, minty-green, or a combination of the two. Unlike some frogs, they do not live in water but they do require it to breed in. They are often attracted to porch lights to feast on the insects attracted there.
Thank you! I'm sorry I moved him from his meal, but I was worried he would be hurt when I opened and closed the door. Is there anything I can do for him habitat-wise to keep him and others in my yard?
It's ok; he or she will probably end up back in those hunting grounds again soon enough.
Frog skin is very sensitive to pollutants, so minimizing or eliminating pesticide use is a big help in amphibian preservation. (This also preserves their food source.) Diverse habitat is always useful in attracting a range of potential prey for them, and offers varying options for shelter as well. (You can offer artificial shelter also...we often see Gray Tree Frogs sheltering from the drying heat of the day wedged into siding crevices, under plant pots, inside empty watering cans, and even behind gas grill cabinets sitting on the cool gas tank!) Tree frogs use both woodland and wetland habitats, so if you wish to install a small pond, it might be utilized as a breeding site if some of it is sheltered from the sun by a small tree, shrubs, or tall perennials.
General good-stewardship / environmentally-friendly gardening practices can encourage wildlife to stay in the garden and helps preserve wild areas for natural populations. Here are a few other ideas or tips for frog-friendly habitat (because frogs vary in their habitat needs, these are pretty general):
Miri- I do everything I can to provide for wildlife. I have a pond feature, don't use pesticides, have a pollinator garden, provide bushes and trees, some of which flower and fruit, provide shelter and food areas for birds and animals. I wish I could get bats back in the area...
You could try a bat box (unless you have already), though getting them to use it can be tricky and have mixed success. This publication may be useful if you haven't already encountered it: https://extension.umd.edu/sites/extension.umd.edu/files/_images/programs/hgic/Publications/non_HGIC_FS/FS791%20Got%20Bugs_Get%20Bats.pdf
There is also info. about bat boxes a ways down this extensive page (you can search "bat box design" to jump down to find the start of it): https://extension.psu.edu/a-homeowners-guide-to-northeastern-bats-and-bat-problems