Parsing error: No Babel config file detected

I had the same issue and this change fixed the issue.
In your .eslintrc.js file, add requireConfigFile: false

parserOptions: {
  parser: '@babel/eslint-parser',
  requireConfigFile: false, // <== ADD THIS
  ecmaVersion: 2018, // Allows for the parsing of modern ECMAScript features
  sourceType: 'module' // Allows for the use of imports
}