Use Babel to parse Vue.js SFC

npm install vue-template-babel-compiler --save-dev

// vue.config.js
module.exports = {
    chainWebpack: config => {
        config.module
            .rule('vue')
            .use('vue-loader')
            .tap(options => {
                options.compiler = require('vue-template-babel-compiler')
                return options
            })
    }
}

// nuxt.config.js
export default {
  // Build Configuration: https://go.nuxtjs.dev/config-build
  build: {
    loaders: {
      vue: {
        compiler: require('vue-template-babel-compiler')
      }
    },
  },
  // ...
}

// your webpack.config.js where config vue-loader
module.exports = {
  // ...
  module: {
    rules: [
      {
        test: /\.vue$/,
        loader: 'vue-loader',
        options: {
            compiler: require('vue-template-babel-compiler')
        }
      }
    ]
  }
}