diff --git a/asv_bench/benchmarks/period.py b/asv_bench/benchmarks/period.py
index fc34a47fee3e1..1af1ba1fb7b0b 100644
--- a/asv_bench/benchmarks/period.py
+++ b/asv_bench/benchmarks/period.py
@@ -43,6 +43,7 @@ class PeriodIndexConstructor(object):
     def setup(self, freq):
         self.rng = date_range('1985', periods=1000)
         self.rng2 = date_range('1985', periods=1000).to_pydatetime()
+        self.ints = list(range(2000, 3000))
 
     def time_from_date_range(self, freq):
         PeriodIndex(self.rng, freq=freq)
@@ -50,6 +51,9 @@ def time_from_date_range(self, freq):
     def time_from_pydatetime(self, freq):
         PeriodIndex(self.rng2, freq=freq)
 
+    def time_from_ints(self, freq):
+        PeriodIndex(self.ints, freq=freq)
+
 
 class DataFramePeriodColumn(object):
 
diff --git a/pandas/_libs/tslibs/parsing.pyx b/pandas/_libs/tslibs/parsing.pyx
index 71bb8f79642dc..9a01bf378e549 100644
--- a/pandas/_libs/tslibs/parsing.pyx
+++ b/pandas/_libs/tslibs/parsing.pyx
@@ -118,12 +118,12 @@ def parse_time_string(arg, freq=None, dayfirst=None, yearfirst=None):
     if getattr(freq, "_typ", None) == "dateoffset":
         freq = freq.rule_code
 
-    if dayfirst is None:
+    if dayfirst is None or yearfirst is None:
         from pandas.core.config import get_option
-        dayfirst = get_option("display.date_dayfirst")
-    if yearfirst is None:
-        from pandas.core.config import get_option
-        yearfirst = get_option("display.date_yearfirst")
+        if dayfirst is None:
+            dayfirst = get_option("display.date_dayfirst")
+        if yearfirst is None:
+            yearfirst = get_option("display.date_yearfirst")
 
     res = parse_datetime_string_with_reso(arg, freq=freq,
                                           dayfirst=dayfirst,