Zipline is a popular open source backtesting framework used by quant traders and algorithmic trading enthusiasts. However, Zipline itself is not a trading platform or asset, so there is no direct way to invest in Zipline. While Zipline is free to use, some integrated platforms like QuantConnect offer paid subscriptions for accessing Zipline features. So indirectly, investing in those platforms provides financial support for the development and maintenance of Zipline.

Zipline is an open source software project
As an open source project maintained by Quantopian, Zipline is not owned by any single company or organization. Anyone can freely use, modify and distribute the Zipline code under its BSD 3-clause license. So there are no Zipline stocks or direct investment opportunities.
Paid platforms indirectly support Zipline
Although Zipline itself does not generate revenue, some platforms like QuantConnect integrate Zipline and charge subscription fees to access added features. By subscribing to QuantConnect, users indirectly fund the maintenance and continued development of Zipline and other open source projects.
Contribute through code or donations
Users who find Zipline beneficial can also choose to directly support the project through code contributions or donations. Even fixing minor bugs or improving documentation helps the developer community. For financial contributions, the PSF (Python Software Foundation) accepts tax-deductible donations earmarked for Zipline and other Python data science projects.
In summary, there is no way to directly invest in the Zipline software. But supporting integrated platforms like QuantConnect or contributing donations to the PSF indirectly aids the development of Zipline and keeps this valuable tool freely available for quants and algorithmic traders.