Feature request: Session handoff from Claude in Chrome to local Claude Code (teleport for browser sessions)

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

I often start analysis in the Claude in Chrome extension — browsing pages, reviewing content, capturing screenshots. Today there is no way to continue that work in a local Claude Code session. The /teleport command only supports Claude Code remote sessions (web/mobile), not browser extension sessions, so the context (conversation, findings, screenshots) is stranded in the extension.

Proposed Solution

Extend /teleport (or an equivalent handoff mechanism) so a Claude in Chrome session can be pulled into a local Claude Code CLI session — e.g., running in Zed's integrated terminal. Ideally this would carry over:

Conversation/analysis context from the browser session
Screenshots captured by the extension, saved as files accessible to the local session

Alternative Solutions

Manually saving screenshots to the Downloads folder and referencing the file path in Claude Code. This works but loses the conversational context and requires manual steps for every artifact.

Priority

High - Significant impact on productivity

Feature Category

CLI commands and flags

Use Case Example

Use Claude in Chrome to analyze a web app / dashboard, capturing screenshots
Open terminal in Zed, run claude, then /teleport
Pick the Chrome session and continue the analysis locally with full context and artifacts

Additional Context

_No response_