Modern architectures cannot translate or run legacy PowerPC/Intel 32-bit apps.
To install and use Final Cut Pro 7 on macOS High Sierra or macOS Mojave, use the open-source utility . final cut pro 7 dmg link
Because Apple has completely removed Final Cut Pro 7 from its servers, you cannot download it from the official Mac App Store or Apple's support pages. : This specialized utility converts legacy Final Cut
: This specialized utility converts legacy Final Cut Pro 7 XML files into a modern Final Cut Pro XML format. Official and Safe Alternatives: Modern Final Cut Pro
: If you can access an older Mac with FCP 7 for a short period, open your old project, navigate to File > Export > XML , and save the file. This XML file can then be imported directly into DaVinci Resolve, Premiere Pro, or modern versions of Final Cut Pro. Official and Safe Alternatives: Modern Final Cut Pro
Impossible to run. 64-bit strict OS prevents 32-bit FCP 7 from launching. Does Not Work
: To access legacy files safely for academic or preservation purposes, check the Internet Archive, where historical software disks are frequently uploaded by archivists. Operating System Compatibility for FCP 7