Hi @Maxim Eliseev,
There are many ways how to launch SSIS packages.
One of them is via T-SQL. So, you can create a stored procedure (SP) that will launch SSIS packages. After that just call that SP from C# .NET 7.
For the reference: https://learn.microsoft.com/en-us/sql/integration-services/ssis-quickstart-run-tsql-ssms?view=sql-server-ver16