Exercise facility in Paris

Go for a walk

The wife is 55 and has yet to learn how to walk on her hands, hence the limited muscles used when walking in the traditional fashion do little for her upper body. Thanks nonetheless for the idea.

This is a legitimate question.....I too like to get in an occasional work out and I am looking for gyms in Vienna and Budapest for an upcoming trip.

I would check on Yelp or TripAdvisor. Or simply ask the hotel staff........presumably they know the neighborhood. Many hotels might even have an arrangement with a nearby gym for guest privileges or a guest discount.

Just for what it’s worth you’re actually staying on rue Cler

I work out at CMG Sports when I am in Paris. They have daily passes that I think are around 30€ per day -- I have a membership so I do not know the exact amount for a drop-in pass. You can check here https://www.cmgsportsclub.com/clubs to see if there is a location close enough to Rue Cler for you. One thing to mention is that gyms in Paris tend to open later than gyms in the US. My gym here in California opens at 4 AM every day. My gym in Paris opens at 7 AM on weekdays, 8 on Saturdays and 9 on Sundays and half the time we arrive a couple of minutes before the guy who opens the place in the morning if we get there at opening time. The 7th arrondissement, and the Rue Cler area, specifically, is not ideal for finding an all round gym nearby and by nearby I mean within a 10 to 15-minute walk. As mentioned by a prior responder, check with your hotel. They might know of a place. In 2016, we stayed at a hotel in the 6th that did not have a gym but they had a relationship with Health City on Blvd Saint Germain in the 5th, which was about a 10-minute walk away.

For upper body strength excersise while traveling to urban settings, first dump the rolling luggage and use backpacks and/or duffle bags. Duffle bags can be a practical arm excersie. Even if your hotel has a lift, take the stairs.

Second, assuming your hotel room has some floor space, there are a number of upper body core isometric workouts:
https://life.spartan.com/post/the-no-excuses-hotel-room-workout

Plank. This exercise is great for your core, which in turn protects
your back. Lie face down with your forearms on the floor of your hotel
room and lift onto your toes and tighten your core. Hold the position
for as long as you can. If you can’t hold for at least a minute, lower
yourself, rest for 10 seconds, and repeat until you reach a minute
total.

Wall sit. This one is great for your legs and backside. Stand against
a wall then slowly slide down until your thighs are parallel to the
ground—as if you’re sitting in an imaginary chair. Hold it for 60
seconds, stopping to rest if necessary. Don’t move on until you reach
a minute total.

Contralateral limb raise. Lie on your stomach on the floor of your
hotel room with your arms stretched out in front of you. Slowly lift
one arm and the opposite leg off the floor while keeping the rest of
your body still. Hold for 5 seconds, lower, and switch limbs. Do 10
reps on each side.

Superman. Start in the same position as the limb raise, but this time
lift all your limbs at the same time and hold for 5 seconds. Do 15
reps.

Chair dip. This one is great for the triceps. Sit on the edge of a
chair, with your arms straight at your sides and legs straight out in
front of you (you’ll be on your heels). Now lift yourself off the
chair dip down the front of it by bending your elbows and
straightening them again. Advanced exercisers can make it harder by
lifting one leg while you dip. Do 15 reps.

And lastly, for an aerobic workout, a lot of folks jog along the footpath next to the river that runs through Paris.

I prefer to keep up with my work outs while traveling, too. I have used: (1) a set of plastic weights that you fill with water to add the weight. They're marked for two pounds, four pounds etc. When you're done just pour out the water and they go flat for packing and (2) resistance bands. They come in packs (i think my set was four) each color is a different strength. My set also had an instruction booklet. I prefer the bands, easier to pack and no risk of leaks rendering them useless.
I googled "health clubs Paris" and got quite a long list. I also got a link to trip advisor which had another long list.