The short answer
Yes, and say how. Online tutoring for children only sells when the safety measures are written down next to the offer: which platform, whether the session is recorded and who can see the recording, whether a parent may sit in or be in the room, and the rules on any contact between tutor and child outside the session.
A page that offers online sessions without those four answers converts far worse than one that offers nothing at all, because the parent fills the gap with their own assumption.
The four things to state
Platform. Name it. Zoom, Google Meet, Microsoft Teams or a whiteboard tool built into your tutoring platform. Say whether the parent needs an account and whether anything has to be installed. A parent who cannot picture the setup will not book.
Recording. Say plainly whether sessions are recorded, who can access a recording, how long it is kept and how it is deleted. Recording is a good safeguarding practice and a good revision resource, and it also creates a file about a child that you are then responsible for. If you record, have a retention period and stick to it.
Parent presence. Say whether a parent is welcome to sit in, whether they must be at home, and whether they can drop in mid session. Most parents will not sit in. They want to know that they could.
Contact rules. No private messaging between a tutor and a child, no personal phone numbers, no social media contact, and all communication through the parent or the platform. Write that as a rule you enforce, not as a suggestion.
What to add about the practical setup
Parents also want to know what their end has to look like. Answer it in a few lines.
The device that works best, and that a phone is not really enough for a full session. Headphones. Whether the child needs a printer, or whether you send worksheets in advance. Where the child should sit, which for younger children means a shared room rather than a bedroom with the door shut. What happens if the connection drops mid session, and whether the time is made up.
Say which ages and subjects it actually suits
Be honest rather than universal. Online works well for older primary children and above, for subjects that live on a screen or a shared whiteboard, and for exam revision. It is harder with a six year old, with early reading, and with any child who needs someone beside them to stay on task.
Saying so costs you a few bookings you would have lost anyway and earns trust from every parent who has tried it and knows.
Price it and book it as its own service
Make online its own bookable service in TutorBird, Teachworks or whichever platform you run, with its own duration and rate rather than being a note on the in-person booking. Then the confirmation can carry the joining link, the kit list and the recording position automatically, and your calendar does not put a travel gap around a session that needs none.
If the platform integrates with your video tool, use that integration so the link is generated per session rather than one permanent room shared by every family.
Put it on one page, linked from the subject pages
Give online sessions a page: how it works, the four safety answers, the kit list, ages and subjects it suits, and a booking button for an online trial. Then link to it from each subject page and from the fees table where the online rate appears.
A screenshot or a short clip of your actual whiteboard doing a real question is worth more than any paragraph, because it shows a parent what their child will look at.
Keep the data tidy
Recordings, chat logs and shared files are records about a child. Keep them in one place, restrict who can open them, delete on your stated schedule, and cover them in the privacy notice the enquiry form links to. Rules on children's data differ by country, so treat this as orientation and check your local position.
Where this sits
An online sessions page with the platform, recording, presence and contact rules stated is part of a children's tutoring website as we build it, alongside the rest of our childcare and family websites. The packages are on pricing. Offer it, and then answer the question the parent has not asked yet.