This should do the trick:
import pandas as pd
import pymysql
pymysql.install_as_MySQLdb()
from sqlalchemy import create_engine
# Create engine
engine = create_engine('mysql://USER_NAME_HERE:PASS_HERE@HOST_ADRESS_HERE/DB_NAME_HERE')
# Create the connection and close it(whether successed of failed)
with engine.begin() as connection:
df.to_sql(name='INSERT_TABLE_NAME_HERE/INSERT_NEW_TABLE_NAME', con=connection, if_exists='append', index=False)