Try:

INSERT INTO table1 ( column1 )
SELECT  col1
FROM    table2

This is standard ANSI SQL and should work on any DBMS

It definitely works for:

  • Oracle
  • MS SQL Server
  • MySQL
  • Postgres
  • SQLite v3
  • Teradata
  • DB2
  • Sybase
  • Vertica
  • HSQLDB
  • H2
  • AWS RedShift
  • SAP HANA