Answers that name a competitor

• Central Texas Pediatric Dentistry - 1201 Barbara Jordan Blvd #1430, Austin, TX 78723, United States
• Super Kids Austin - 2410 E Riverside Dr, Austin, TX 78741, United States
• Rising Stars Pediatric Dentistry and Orthodontics - Pediatric Dentist & Braces Austin - 14005 N Hwy 183 Ste 800, Austin, TX 78717, United States
• Austin Pearls Pediatric Dentistry - 3607 Manor Rd #103, Austin, TX 78723, United States
• Lone Star Pediatric Dental & Braces - Oral Surgery Central Austin - 1015 W 34th St, Austin, TX 78705, United States
• Southern Stars Pediatric Dentistry - 700 Market St Ste 103, Cedar Park, TX 78613, United States
• Dentalsaurus - 2500 W William Cannon Dr Ste 507, Austin, TX 78745, United States
• Red Balloon Dentistry for Children- Austin - 1139 W Braker Ln Ste 201, Austin, TX 78758, United States
• Loving Pediatric Dentistry - 7800 N Mopac Expy #110, Austin, TX 78759, United States
• Tiny Texans Pediatric Dentistry - 11200 Menchaca Rd Bldg 4 Ste 1, Austin, TX 78748, United States

Yes. Based on what I found, several Austin pediatric dentists specifically offer hospital-based general anesthesia for extensive pediatric dental work, but the strongest matches for your combination of extensive work + hospital sedation + emergencies are:

Best matches

• Central Texas Pediatric Dentistry — This is probably the most direct match. They provide hospital dentistry with outpatient general anesthesia at Dell Children’s, St. David’s, and Ascension facilities. Their site specifically says treatment under anesthesia can include fillings, crowns, extractions, and dental emergencies. Phone: 512-474-7575. CTPDKid
• Super Kids Austin — Particularly worth considering if the situation is urgent. They are listed as both a pediatric dentist and emergency dental service, and their practice information describes IV sedation for extensive work and general anesthesia in a hospital with an anesthesiologist. Phone: 737-373-2993.
• Longhorn Pediatric Dentistry & Orthodontics — Dr. Reza Arzegar is a board-certified pediatric dentist who has provided hospital dentistry since 2006 and reports thousands of hospital-based cases. They specifically describe hospital GA for extensive decay, multiple procedures, infections, very young children, and children unable to tolerate conventional treatment. Their hospital-dentistry day is listed as Friday. Phone: 512-892-2443. Longhorn Pediatric Dentist
• Kids Tooth Team Pediatric Dentistry — A particularly interesting option because the practice says it has hospital privileges at both Texas Children’s Hospital and Dell Children’s Medical Center. It offers both in-office GA and hospital-based GA for children who are medically complex or need that level of care. Kids Tooth Team

If hospital-based care is important

Texas Children’s Hospital North Austin has a dedicated hospital-based Pediatric Dental Medicine clinic. It provides comprehensive care—including fillings, crowns and extractions—and some children receive their dental treatment under general anesthesia in special procedure rooms. However, this program is primarily intended for children with significant medical conditions/special healthcare needs, rather than simply a child with lots of cavities. Texas Children’s

Steiner Ranch Pediatric Dentistry also says it has blocked operating-room time at Texas Children’s Hospital North Austin, specifically for medically complex and special-needs patients. Steiner Ranch Pediatric Dental

What I'd do

If this is for a child who has a lot of dental work that needs to be completed in one session and may also need urgent treatment, I'd call Central Texas Pediatric Dentistry and Longhorn Pediatric Dentistry first and ask:

“My child needs extensive dental treatment, and we're specifically looking for a pediatric dentist who can do the entire treatment under general anesthesia in a hospital, rather than in-office sedation. Do you currently have hospital OR availability, and can you see an urgent/emergency case?”

If there is facial swelling, fever, difficulty swallowing/breathing, rapidly worsening swelling, uncontrolled bleeding, or the child appears seriously ill, don't wait for a dental appointment—go to a pediatric emergency department.

If you tell me the child's age, roughly how extensive the dental work is, whether there's pain/swelling right now, and whether you're looking specifically for Dell Children's vs. Texas Children's, I can narrow this to the 2–3 Austin dentists most likely to be the right fit and check their current emergency/appointment information.