WEB API with Dapper

Question

With reference to below given article:

https://www.c-sharpcorner.com/article/asp-net-core-web-api-with-dapper-and-vs-2017/

 

I want connection string to be get at runtime in the above given web api article.

I have one common DB in which I have all the client DB details with its connection string in the client table.

 

I have user table in which all the users with its client id.

 

When user logs into my system with its user name and password then I get which DB I have use with its connection string.

 

One solution I have is that in each and every method I have to send the DB name as the parameter.

 

But I want common wrapper class that handle the run time DB.

 

Can we handle multiple database scenario on runtime with this architecture. Please suggest.