An intragastric implant for obesity treatment is disclosed. The device delays digestion by providing a duodenal sleeve, and may also slows gastric emptying by limiting flow through the pyloric sphincter. The implant includes an elongated axially-compressible duodenal sleeve having a non-tissue-piercing anchor on a proximal end sized to lodge within the duodenal bulb. The anchor may have oppositely-directed anchoring flanges to resists migration in both directions. The sleeve may also have barbed ribs to resist proximal movement back up into the stomach. A method of implant includes collapsing/compressing the device and transorally advancing it through the esophagus to be deployed within the duodenum. A dissolvable jacket may constrain the implant for delivery and naturally dissolve upon implant. Removal of the implant may occur in the reverse.