When 2 AL teams play in a regular season game can one team decide not to use a DH and let the pitcher hit instead?

In MLB, games between two American League teams always use the DH and games between two National League teams do not use the DH. When a team from the American League is playing a team from the National League, the rules used are those of the home team's league. If the home team is an American League team, the DH is used. If the home team is a National League team, the DH is not used.