Below are simple applique techniques. I found these on p. 40 in the book sew me! sewing home decor by Choly Knight.

Adhesive method

Use two-sided fusible web as if it were an iron-on patch.

• Fusible web: Heavy duty
• Stitch: None
• Fabric: Felt
• Good for projects that won’t be washed often

Floating method

Only a small section of the fabric is sewn down. Fabric will have free floating edges. Sewn down the center or near the edges of the applique.

• Fusible web: None
• Stitch: Straight
• Fabric: Felt

Straight stitch method

Use fusible web to adhere applique, then stitch around the edges with a regular straight stitch 1/8″ from edge.

• Fusible web: Light
• Stitch: Straight
• Fabric: Felt

Zigzag method

Use fusible web to adhere applique, then stitch around the edges with a zigzag stitch. Length: 0.75-1.25. Width: 2-4.5. Zig zag stitch will cover all the raw edges.

• Fusible web: Light
• Stitch: Zigzag
• Fabric: Felt or cotton

Satin stitch method

Use a very short zigzag stitch (typically shortest your machine can handle) to fully encase raw edges.

• Fusible web: Medium
• Stitch: Zigzag
• Fabric: Felt or cotton
• Embroidery thread may be best with a complimentary color
• Different than zigzag method because it has little to no space in between the stitches