Certainly! You can use the `random` module in Python to generate random integers. Here's an example code snippet that generates 1000 random integers between 1 and 100:
```python
import random
for i in range(1000):
print(random.randint(1, 100))
```
In this code, we first import the `random` module. Then, we use a `for` loop to iterate 1000 times. Inside the loop, we call the `randint()` function from the `random` module, which generates a random integer between the two arguments we pass to it (in this case, 1 and 100). Finally, we print each random integer on a new line using the `print()` function.
You can adjust the range of the random integers by changing the arguments passed to `randint()`. For example, if you want to generate random integers between 1 and 10, you would change the code to:
```python
import random
for i in range(1000):
print(random.randint(1, 10))
```
I hope this helps!