You can get the tenant name (and some other details) for the signed-in user by calling the /organization endpoint in MS Graph API: https://docs.microsoft.com/en-us/graph/api/organization-get?view=graph-rest-1.0.
Request: GET https://graph.microsoft.com/v1.0/organization
Response:
HTTP/1.1 200 OK
Content-type: application/json
Content-length: 411
{
"@odata.context": "https://graph.microsoft.com/v1.0/$metadata#organization",
"value": [
{
"assignedPlans": [
{
"assignedDateTime": "datetime-value",
"capabilityStatus": "capabilityStatus-value",
"service": "service-value",
"servicePlanId": "servicePlanId-value"
}
],
"businessPhones": [
"businessPhones-value"
],
"city": "city-value",
"country": "country-value",
"countryLetterCode": "countryLetterCode-value",
"displayName": "displayName-value"
}
]
}