Perhaps the best known and widest available annual with green flowers is bells of Ireland or Molucella laevis, so named for its bell-shaped bloom in the color of the Emerald Isle.
It is an heirloom seed, grown during earlier history, with flowers attractive for both fresh and dried arrangements. Reaching a height of about 30 inches, it grows best in full sun to partial shade in well-drained soil and prefers cool weather. Bells of Ireland is suggested for background planting or in rows as a cut flower.
Tequila lime zinnias are a Burpee Co. exclusive. They have 2-inch blooms in a citrus-lime shade of green. Growing up to 3 inches in diameter and to a height of 30 inches, these flowers are perfect for cutting or in background planting.
Green is a most unusual color for a sunflower. The jade hybrid sunflower
has cool lime-green blossoms with a jade green middle. It grows 4 to 5 feet tall in a sunny garden with branching 4-to-5-inch blooms.
Lime green Nicotiana alata is a member of the flowering tobacco family. It has yellow-green trumpet-shaped flowers and grows to 2 or 3 feet tall in full sun. This annual is known to attract hummingbirds, and its fragrance fills the summer night.