Have installed nuget for System.Data.SqlClient 4.8.1. Getting below error on running
[5/28/2020 4:09:39 PM] Executed 'Function1' (Failed, Id=990d4cbf-bd32-4a77-ab52-8b5fb1dce252) [5/28/2020 4:09:39 PM] System.Private.CoreLib: Exception while executing function: Function1. FunctionAppDemo: Could not load file or assembly 'System.Data.SqlClient, Version=4.6.1.1, Culture=neutral, PublicKeyToken=b03f5f7f11d50a3a'. Could not find or load a specific file. (Exception from HRESULT: 0x80131621). System.Private.CoreLib: Could not load file or assembly 'System.Data.SqlClient, Version=4.6.1.1, Culture=neutral, PublicKeyToken=b03f5f7f11d50a3a'.
Even when I downgrade to Version=4.6.1.1, I get similar error with version 4.5.1

I didn't reproduce your issue on my side. I am using
.NET Core 2.0andSystem.Data.SqlClient(4.8.1).Please go to Dependencies to check if
System.Data.SqlClientis there.If the dependency is there, you can refer to the solutions here.