When parsing a module (that has imports and exports), use esprima.parseModule(code, {"jsx": True}).

Furthermore, Esprima does not support React's <> fragment syntax, so you'll have to hack those to their canonical form first (and yes, I'm aware it will happily replace that in e.g. strings within the source too, but can't be helped:

code = code.replace("<>", "<React.Fragment>")
code = code.replace("</>", "</React.Fragment>")
pprint(esprima.parseModule(code, {"jsx": True}))

prints out

{
    type: "Program",
    sourceType: "module",
    body: [
        {
            type: "ImportDeclaration",
            specifiers: [
                {
                    type: "ImportSpecifier",
                    local: {
                        type: "Identifier",
                        name: "Image"
                    },
                    imported: {
                        type: "Identifier",
                        name: "Image"
                    }
                }
            ],
            source: {
                type: "Literal",
                value: "Base",
                raw: "'Base'"
            }
        },
...

(once the missing tags were added ;-) )

Nowadays, there is at least one better tool, called slimit:

SlimIt is a JavaScript minifier written in Python. It compiles JavaScript into more compact code so that it downloads and runs faster.

SlimIt also provides a library that includes a JavaScript parser, lexer, pretty printer and a tree visitor.

Demo:

Imagine we have the following javascript code:

$.ajax({
    type: "POST",
    url: 'http://www.example.com',
    data: {
        email: '[email protected]',
        phone: '9999999999',
        name: 'XYZ'
    }
});

And now we need to get email, phone and name values from the data object.

The idea here would be to instantiate a slimit parser, visit all nodes, filter all assignments and put them into the dictionary:

from slimit import ast
from slimit.parser import Parser
from slimit.visitors import nodevisitor


data = """
$.ajax({
    type: "POST",
    url: 'http://www.example.com',
    data: {
        email: '[email protected]',
        phone: '9999999999',
        name: 'XYZ'
    }
});
"""

parser = Parser()
tree = parser.parse(data)
fields = {getattr(node.left, 'value', ''): getattr(node.right, 'value', '')
          for node in nodevisitor.visit(tree)
          if isinstance(node, ast.Assign)}

print fields

It prints:

{'name': "'XYZ'", 
 'url': "'http://www.example.com'", 
 'type': '"POST"', 
 'phone': "'9999999999'", 
 'data': '', 
 'email': "'[email protected]'"}