You have to publish it to your private (or not?) npm registry and install it as dependency to each project that uses it.
Also, you need to install @prisma/client and prisma as dependencies since they are peer dependencies of this package.
Client generation executed on postinstall hook on each project that uses this package, not on publish.
Example:
yarn add @your-npm-scope/prisma-client @prisma/client prisma
or
npm install @your-npm-scope/prisma-client @prisma/client prisma
Another possible way to install it without publishing to npm registry, is to use git url, instead of npm package name:
yarn add git+https://github.com/igolka97/shared-prisma-client-example.git with #tagnameOrCommitSHA if needed.
In your code at some microservice:
import { PrismaClient } from '@your-npm-scope/prisma-client'
const db = new PrismaClient()