import pandas as pd

df1 = pd.DataFrame({'Team1': ['Black Eagles',
                              'Banana Slugs',
                              'Preachers',
                              'Fighting Cardinals',
                              'The Predators',
                              'Razorbacks',
                              'Rebels',
                              'Fighting Crusaders',
                              'Avengers',
                              'Aztecs']})
df2 = pd.DataFrame({'Team2': ['Preachers',
                              'Fighting Cardinals',
                              'The Predators',
                              'Razorbacks',
                              'Rebels',
                              'Fighting Crusaders',
                              'Black Eagles',
                              'Banana Slugs',
                              'Avengers',
                              'Aztecs']})

print(df1['Team1'] == df2['Team2'])

0    False
1    False
2    False
3    False
4    False
5    False
6    False
7    False
8     True
9     True